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eLife logoLink to eLife
. 2020 Mar 31;9:e48964. doi: 10.7554/eLife.48964

Fibronectin is a smart adhesive that both influences and responds to the mechanics of early spinal column development

Emilie Guillon 1, Dipjyoti Das 1,, Dörthe Jülich 1, Abdel-Rahman Hassan 1, Hannah Geller 1, Scott Holley 1,
Editors: Didier YR Stainier2, Timothy E Saunders3
PMCID: PMC7108867  PMID: 32228864

Abstract

An extracellular matrix of Fibronectin adheres the neural tube to the two flanking columns of paraxial mesoderm and is required for normal vertebrate development. Here, we find that the bilaterally symmetric interfaces between the zebrafish neural tube and paraxial mesoderm function as optimally engineered adhesive lap joints with rounded edges, graded Fibronectin ‘adhesive’ and an arced adhesive spew filet. Fibronectin is a ‘smart adhesive’ that remodels to the lateral edges of the neural tube-paraxial mesoderm interfaces where shear stress is highest. Fibronectin remodeling is mechanically responsive to contralateral variation morphogenesis, and Fibronectin-mediated inter-tissue adhesion is required for bilaterally symmetric morphogenesis of the paraxial mesoderm. Strikingly, however, perturbation of the Fibronectin matrix rescues the neural tube convergence defect of cadherin 2 mutants. Therefore, Fibronectin-mediated inter-tissue adhesion dynamically coordinates bilaterally symmetric morphogenesis of the vertebrate trunk but predisposes the neural tube to convergence defects that lead to spina bifida.

Research organism: Zebrafish

eLife digest

In embryos, the spinal cord starts out as a flat sheet of cells that curls up to form a closed cylinder called the neural tube. The folding tube is attached to the surrounding tissues through an extracellular matrix of proteins and sugars. Overlapping strands of a protein from the extracellular matrix called Fibronectin connect the neural tube to adjacent tissues, like a kind of biological glue. However, it remained unclear what effect this attachment had on the embryonic development of the spinal cord.

Connecting two overlapping objects with glue to form what is known as an ‘adhesive lap joint’ is common in fields such as woodworking and aeronautical engineering. The glue in these joints comes under shearing stress whenever the two objects it connects try to pull apart. But, thanks to work in engineering, it is possible to predict how different joints will perform under tension. Now, Guillon et al. have deployed these engineering principles to shed light on neural tube development.

Using zebrafish embryos and computational models, Guillon et al. investigated what happens when the strength of the adhesive lap joints in the developing spine changes. This revealed that Fibronectin works like a smart adhesive: rather than staying in one place like a conventional glue, it moves around. As the neural tube closes, cells remodel the Fibronectin, concentrating it on the areas under the highest stress. This seemed to both help and hinder neural tube development. On the one hand, by anchoring the tube equally to the left and right sides of the embryo, the Fibronectin glue helped the spine to develop symmetrically. On the other hand, the strength of the adhesive lap joints made it harder for the neural tube to curl up and close.

If the neural tube fails to close properly, it can lead to birth defects like spina bifida. One of the best-known causes of these birth defects in humans is a lack of a vitamin known as folic acid. Cell culture experiments suggest that this might have something to do with the mechanics of the cells during development. It may be that faulty neural tubes could close more easily if they were able to unglue themselves from the surrounding tissues. Further use of engineering principles could shed more light on this idea in the future.

Introduction

The vertebrate central nervous system develops from the neural tube which is created via the complex morphogenic processes of convergence and closure of the neural ectoderm during neurulation. Human neural tube defects such as spina bifida arise via a failure of the neural tube to converge and fuse along the dorsal midline. Convergent-extension cell movements along with apical constriction of neural tube cells drive neurulation at the cellular level (Wallingford et al., 2013; Copp et al., 2015). In zebrafish, the neural ectoderm converges along the dorsal midline to form a neural tube with a slit-like lumen, and during posterior trunk development studied here, neural convergence is accompanied by extension both posteriorly and along the dorsal-ventral axis but without an increase in tissue volume (Papan and Campos-Ortega, 1994; Lowery and Sive, 2004; Harrington et al., 2010; Steventon et al., 2016). At the tissue level, the underlying mesoderm is required for neural tube convergence in zebrafish (Araya et al., 2014). In Xenopus, the epidermal ectoderm is pulled toward the midline by the neural ectoderm and is necessary for neural convergence (Davidson and Keller, 1999; Morita et al., 2012). Conversely, studies of chick neurulation suggest that the epidermis pushes the neural tube closed (Colas and Schoenwolf, 2001). Locally varied tissue mechanics are exhibited during posterior mouse neural tube closure where a supracellular network of F-actin zippers the neural tube, creating spatially restricted zones of positive and negative strain within the tissue (Galea et al., 2017). Overall, these studies highlight the tissue level mechanics and inter-tissue interactions involved in neural tube morphogenesis.

Cell-cell adhesion is a crucial biomechanical process that regulates neurulation, since loss of n-cadherin/cadherin 2  leads to neural tube convergence defects in mouse and zebrafish (Luo et al., 2001; Lele et al., 2002; Harrington et al., 2007). cadherin 2 also regulates the morphogenesis and segmentation of the paraxial mesoderm, which flanks the left and right sides of the neural tube and contributes to the vertebrae of the spinal column (Radice et al., 1997; Luo et al., 2001; Horikawa et al., 1999; McMillen et al., 2016; Chal et al., 2017). The presomitic mesoderm (PSM) is the posterior paraxial mesoderm within the extending tailbud. The PSM stiffens as it develops, and this tissue solidification requires cadherin 2 and is important for body elongation (McMillen and Holley, 2015; Zhou et al., 2009; Mongera et al., 2018). cadherin 2 is further required for ordered tailbud cell migration and mutants exhibit shortened body axes (Lawton et al., 2013).

An extracellular matrix of Fibronectin coats the paraxial mesoderm and mediates inter-tissue adhesion between the paraxial mesoderm and the neural tube and notochord (Dray et al., 2013; Araya et al., 2016), Fibronectin matrix assembly is dependent upon its Integrin receptors, principally Integrin α5β1 and αVβ3 (Schwarzbauer and DeSimone, 2011). Soluble Fibronectin is readily available to cells in the developing zebrafish trunk, but Fibronectin matrix assembly only occurs when Integrins adopt an active conformation in which they can bind Fibronectin (Jülich et al., 2009). Cadherin 2 represses Integrin α5β1 activation by physically associating with and stabilizing a complex of inactive Integrins on adjacent cells (Jülich et al., 2015; McMillen et al., 2016). On the surface of the paraxial mesoderm and along the somite boundaries, there is little Cadherin 2, and therefore, Integrin α5β1 is activated and a Fibronectin matrix is assembled (Jülich et al., 2015; McMillen et al., 2016). Surprisingly, loss of the Fibronectin receptors leads to a shortened body axis but does not affect cell migration (Dray et al., 2013; Yang et al., 1999). Thus, it is unclear how the Fibronectin matrix functions during body elongation and neural tube morphogenesis.

Fibronectin fibrillogenesis is an intrinsically mechanical process involving the unfolding of soluble Fibronectin dimers, non-covalent crosslinking and progressive assembly into larger fibers. Fibronectin fiber assembly is promoted by cell actomyosin contractility, and fiber orientation aligns with cell traction forces in 2D cell culture (Zhong et al., 1998; Lemmon et al., 2009). Similarly, constitutively active myosin regulatory light chain activates Integrin α5, colocalizes with the activated Integrin, and induces Fibronectin matrix assembly in the zebrafish paraxial mesoderm (Jülich et al., 2015; McMillen et al., 2016). In 3D in vitro micro-tissues, Fibronectin fibers and F-actin co-localize with tissue stress (Legant et al., 2009). These results parallel the finding that tissue tension promotes Fibronectin matrix assembly in the Xenopus gastrula (Dzamba et al., 2009).

Here, we examined the role of Fibronectin-mediated inter-tissue adhesion in neural tube convergence and paraxial mesoderm morphogenesis in zebrafish (Figure 1A). We first performed morphometric analysis of the neural tube and paraxial mesoderm in different genetic backgrounds with reduced cell-cell and/or cell-Fibronectin adhesion. These experiments revealed that inter-tissue adhesion resists neural tube convergence. We developed a simple computational model that predicts several morphological changes due to loss of cell-cell or cell-Fibronectin adhesion. We find that the interfaces between the neural tube and paraxial mesoderm recapitulate features of an ‘adhesive lap joint’ which is commonly used in engineering and is comprised of partially overlapping components bound via an adhesive. Excess adhesive that can ooze from the edges of the overlapping domains is called an ‘adhesive spew’ which can be filleted or sculpted to strengthen the lap joint. Here, the Fibronectin matrix functions as the adhesive in the lap joint formed by the neural tube and left and right paraxial mesoderm. Our computational model, as well as lap joint theory, predicts different mechanical properties for the interface between the paraxial mesoderm and the neural tube compared to the interface between the paraxial mesoderm and epidermis. Morphometric analysis of the Fibronectin matrix and the actomyosin cytoskeleton are consistent with the prediction that there is an increasing medial to lateral gradient of tension along the paraxial mesoderm and neural tube interface. Lastly, we created a photoconvertible Fibronectin transgenic that enables us to paint the extracellular matrix and quantify its remodeling in live embryos. These experiments indicate the Fibronectin matrix continually remodels to the lateral interface of the neural tube and paraxial mesoderm where tension is highest. This remodeling is dependent upon inter-tissue adhesion and convergence of the neural tube, implying that there is shear stress along this tissue interface that drives the remodeling. Moreover, these experiments revealed that Fibronectin matrix remodeling on one side of the body is sensitive to morphogenic variation on the contralateral side of the body due to mechanical coupling via inter-tissue adhesion. Altogether, the data indicate that Fibronectin-mediated inter-tissue adhesion acts as an adhesive lap joint that mechanically coordinates bilaterally symmetric morphogenesis but predisposes the neural tube to convergence defects that lead to spina bifida.

Figure 1. Reduction of Fibronectin matrix enhances neural tube convergence but abrogates bilaterally symmetric paraxial mesoderm morphogenesis.

(A) A schematic of the zebrafish tailbud and two transverse sections at the anterior and posterior ends of the presomitic mesoderm (PSM, cyan). The left and right PSM flank the neural tube (NT, magenta) and notochord (NC). The neural tube and PSMs converge along the medial-lateral axis, and the anterior tailbud is further converged than the less developed posterior tailbud. (B–E) Transverse sections 160 μm posterior to the last somite boundary at 12–14 somite stage in wt (B), cdh2-/- (C), MZ itgα5-/- (D), and cdh2-/-; MZ itgα5-/- (E). Sections were reconstructed at a distance of 160–180 μm from last somite boundary after wholemount labeling for fibronectin (red) and nuclei (grey). Yellow dotted lines delineate neural tube contours. White arrowheads indicate locations of tissue detachment (also see Figure 1—figure supplement 2E and F). Dorsal is to the top. Scale bars = 70 μm. (F) Quantification of the medial-lateral length of the neural tube (as indicated by red double arrow) along the anterior-posterior axis starting from the last somite boundary. Quantifications were performed on transverse sections spaced every 20 μm. Dots represent means and error bars represent SD. Sample size: n = 10 PSMs on five embryos for each genotype. (G) Quantification of left-right asymmetry in PSM area. Each dot denotes an absolute difference in left and right PSM areas at each transverse section. Sample size: n = 75 sections from five embryos for each genotype. ***p<0.0005, T-test. cdh2-/- vs WT, p=0.79; MZ itgα5-/- vs WT, p=2.51e-4; MZ itgα5-/-;cdh2-/- vs WT, p=3.34e-10.

Figure 1.

Figure 1—figure supplement 1. Reduction of cell-ECM interactions leads to precocious neural tube convergence and rescues cdh2 mutant neural tube convergence defects.

Figure 1—figure supplement 1.

Each column shows a series of transverse sections in 12–14 somite stage embryos along the anterior-posterior axis of the tailbud starting from the last somite boundary (0 μm) in WT (A), cdh2-/- mutants (B), MZ itgα5-/- mutants (C), cdh2-/-; MZ itgα5-/- mutants (D), and fn1a-/; fn1b-/- mutants. (A–D) Immunostaining for FN (red) and nuclei labeling (grey). (E) F-actin labeling (green), and nuclei labeling (red). Yellow dotted lines delineate neural tube contours. Dorsal is to the top. Scale bars = 70 μm.

Figure 1—figure supplement 2. Reduction of cell matrix interactions provokes a precocious neural tube convergence and generates left-right asymmetries in the PSM|NT interfacial length and angle.

Figure 1—figure supplement 2.

(A, B) Quantification of the dorsal-ventral length (A, as indicated by red double arrow) and the cross-sectional area (B, as indicated by the red area) of the neural tube along the anterior-posterior axis starting from the last somite boundary (0 μm). Measurements were performed on transverse sections taken every 20 μm. Dots represent means and error bars represent SD. Sample size n = 10 PSMs on five embryos for each genotype. (C, D) Quantification of left-right asymmetry in PSM|NT interfacial length (C) and PSM|NT interfacial angle (D). Each dot denotes an absolute difference in left and right PSM|NT interfacial length or angle in a transverse section. Sample size n = 75 sections from five embryos for each genotype. ***p<0.0005, **p<0.005, *p<0.05, via T-test. (C) cdh2-/- vs WT, p=0.095; MZ itgα5-/- vs WT, p=1.8e-3; MZ itgα5-/-; cdh2-/- vs WT, p=0.23. (D) cdh2-/- vs WT, p=0.57; MZ itgα5-/- vs WT, p=0.046; MZ itgα5-/-; cdh2-/- vs WT, p=1.56e-9. (E–F) Transverse sections for MZ itgα5-/- (E), and cdh2-/-; MZ itgα5-/- (F) identical to those presented in Figure 1D and Figure 1E but showing only the nuclei signal to highlight tissue detachments (arrowheads) between the notochord (green), the PSM (pink) and the neural tube(yellow).

Results

Reduction of fibronectin matrix fosters neural tube convergence but abrogates bilaterally symmetric PSM morphogenesis

We quantified neural tube (NT) morphologies in wild type, cadherin 2 mutants (cdh2-/-), maternal zygotic integrin α5 mutants (MZ itgα5-/-) and cdh2-/-; MZ itgα5-/- double mutants. We fixed embryos at 12–14 somite-stage and imaged them for Fibronectin and cell nuclei. cdh2 mutants exhibited a wider neural tube than wild-type embryos consistent with its known convergence defect (Figure 1B–C; Lele et al., 2002). In contrast, MZ itgα5 mutants exhibit a narrower neural tube (Figure 1D) suggesting precocious neural tube convergence after reduction of cell-Fibronectin matrix adhesion. Surprisingly, the convergence defect of cdh2 mutants is rescued in cdh2-/-; MZ itgα5-/- double mutants (Figure 1E).

We quantified convergence of the neural tube along the anterior-posterior axis across genotypes. We measured the medial-lateral width of the neural tube (cartoon in Figure 1F) on transverse sections every 20 μm along the anterior-posterior axis starting from the last somite boundary until the posterior end of the PSM (Figure 1—figure supplement 1). In wild-type embryos, the width of the neural tube progressively narrows, comparing posterior to anterior, reflecting convergence over time (Figure 1F and Video 1). This change in the medial-lateral width of the neural tube is shallower in mutants. In cdh2 mutants, the neural tube is wider than wild-type embryos along the full anterior-posterior length of the PSM (Figure 1F). In MZ itgα5 mutants and cdh2; MZ itgα5 mutants, the neural tube has a narrower medial-lateral width in the posterior PSM compared to wild type (Figure 1F). Similarly, wild-type embryos exhibited a posterior to anterior decrease in the dorsal-ventral length and the cross-sectional area of the neural tube, while the posterior to anterior decreases in these two metrics were shallower in other genotypes (Figure 1—figure supplement 2A and B). These data suggest that inter-tissue adhesion via cell-Fibronectin matrix adhesion constrains neural tube convergence.

Video 1. Changes in neural tube and PSM shapes over developmental time.

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This movie is a series of transverse sections from posterior to anterior from a fixed embryo showing Fibronectin localization (green) and cell nuclei (magenta). The development of the vertebrate trunk and tail proceeds from anterior to posterior, thus this series illustrates the medial convergence and shape changes of the neural tube and PSM over time. The quantification of these shapes in different genotypes is detailed in Figures 1, 2 and 5, Figure 1—figure supplement 1, Figure 1—figure supplement 2, Figure 2—figure supplement 1 and Figure 5—figure supplement 1.

Figure 2. A computational model predicts tissue shapes across genotypes.

(A) A coarse-grained 2D model of a transverse section with three model parameters. Tissues are modeled as soft units with a fixed internal pressure (P, blue arrows), a surface stiffness (green springs along the tissue surfaces with individual spring constant Ks), and an adhesion stiffness (red springs connecting adjacent tissues with individual spring constant Kadh). Black dots represent material points subject to the forces. Black lines at the bottom model a rigid yolk surface. See Materials and methods for further details. (B) Variation of adhesion stiffness and surface stiffness in the model have opposing effects on the angle formed at the interface between PSM and neural tube (angle Θ) and on the length of the PSM|NT interface (L PSM|NT, blue box). Decreasing adhesion stiffness decreases interfacial angle and length, while decreasing surface stiffness increases angle and length. Reduction of adhesion stiffness also produces inter-tissue gaps showing local detachments (red arrowhead, top right panel). See Materials and methods for parameter values. (C) Radius of curvature for the PSM|NT interface (grey) and the PSM|E interface (orange) in silico (left panel) and in vivo (right panel). n = 150 on 75 sections from five embryos. (D) Different genotypes are arranged in a 2D parameter space according to their estimated levels of surface stiffness and adhesion stiffness relative to wild type. See Materials and methods for the details of the parameter values. (E–F) Comparison of Interfacial length (L PSM|NT) (E) and angle Θ (F) across genotypes relative to the average wild-type values, measured in silico and in vivo. Data represent mean with SD. Measurements in vivo were performed within the 140 μm posterior of last somite. n interfacial lengths = 150 on 75 sections on five embryos for WT and MZ itgα5-/-; 123 on 64 sections on five embryos for cdh2-/-; 129 on 73 sections on five embryos for cdh2-/-; MZ itgα5-/-. n angles = 145 on 75 sections on five embryos for WT; n = 115 on 63 sections on five embryos for cdh2-/-; 137 on 72 sections on five embryos for MZ itgα5-/-; 133 on 65 sections on five embryos for cdh2-/-; MZ itgα5-/-. T-tests were performed for the following comparisons: cdh2-/- vs WT, p=2.97E-25 (L PSM|NT) p=0.0007 (angle Θ); MZ itgα5-/- vs WT, p=1.16E-13 (L PSM|NT) p=5.37E-30(angle Θ); MZ itgα5-/-;cdh2-/- vs WT, p=0006 (L PSM|NT) p=4.34E-11 (angle Θ).

Figure 2.

Figure 2—figure supplement 1. Parameter exploration of a simple 2D model of tissue morphology.

Figure 2—figure supplement 1.

(A–C) Relative change in L PSM|NT in silico as a function of surface stiffness with a fixed Kadh = 10 (A), as a function of adhesion stiffness with a fixed Ks = 100 (B), or in vivo as a function of distance from the last somite (C). L PSM|NT decreases with surface stiffness and increases with adhesion stiffness in silico while L PSM|NT decreases from posterior to anterior in vivo as PSM solidifies and FN matrix content at the PSM|NT interface remains constant. (D–F) Relative change in Angle Θ in silico as a function of surface stiffness with a fixed Kadh = 10 (D), as a function of adhesion stiffness with a fixed Ks = 100 (E), or in vivo as a function of distance from the last somite (F). At higher surface stiffness (Ks >70) and adhesion stiffness (Kadh >7) regimes, the Angle Θ is not sensitive to changes in these parameters. The Angle Θ is only sensitive to changes in surface stiffness or adhesion stiffness at low regimes (Ks <70, Kadh <7), and it decreases with surface stiffness and increases with adhesion stiffness. In vivo, the Angle Θ is not varying significantly from posterior to anterior. (G) Ratio of medial-lateral length of NT to the length of interface between PSM and NT (NT ML length|L PSM|NT) in silico as a function of adhesion stiffness at a high (Ks = 100) or at a low (Ks = 50) surface stiffness. The NT ML length|L PSM|NT ratio was used to calibrate the Ks and Kadh values for the WT in our in silico model. The closest value of this ratio to the in vivo WT value (average value of 2.04 for the anterior 140 um) is obtained for Kadh between 8 and 12 for both surface stiffness conditions.

Figure 5. Fibronectin is required for inter-tissue adhesion and a hsp70: fn1a-mKIKGR transgene rescues fn1a -/-; fn1b-/- double mutants.

(A–B) fn1a -/-; fn1b-/- double mutants exhibit a precociously converged neural tube and tissue detachment similar to MZ itgα5-/- mutants. (A) Transverse section 160 μm from last somite boundary in 12–14 somite stage fn1a-/-; fn1b -/- embryos with labeled nuclei (red) and F-actin (green). Dotted line delineates the neural tube. Arrowhead indicates tissue detachment. Scale bar = 70 μm. (B) Quantification of the medial-lateral length of the neural tube along the anterior-posterior axis starting from the last somite boundary (0 μm). Data represent means and SD. Immunostaining for Fibronectin (FN) on a 24 hpf heat shocked sibling (C), a non-heat shocked fn1a -/-; fn1b -/-; Tg hsp70: fn1a-mKIKGR embryo (D) and a heat shocked fn1a -/-; fn1b -/-; Tg hsp70: fn1a-mKIKGR embryo (E). Lateral views of the trunk with anterior to the left. DIC images of a heat shocked sibling (F), a non-heat shocked fn1a -/-; fn1b-/-; Tg hsp70: fn1a-mKIKGR embryo (G) and a heat shocked fn1a -/-; fn1b -/-; Tg hsp70: fn1a-mKIKGR embryo (H).

Figure 5.

Figure 5—figure supplement 1. Generation of Tg hsp70: fn1a-mKIKGR transgenic zebrafish to study matrix remodeling in live embryos and generation of double fibronectin mutants which exhibit precocious neural tube convergence and left-right PSM asymmetries.

Figure 5—figure supplement 1.

(A) Schematic of the hsp70: fn1a-mKIKGR transgene (protein sequence). Monomeric kikume (mKIKGR) was inserted in the coding sequence of fn1a between FN type III domains 6 and 7. Note that the last four amino acids of the FN type III domain 6 (PSPL) were added to the 5’ of the FN type III domain 7. (B) Generation of a double fibronectin mutant line using CRISPR. For each gene, the top sequence indicates the wild-type target site (red) that was recognized by Cas9 to create a double strand break (red lightning). A donor DNA containing a ‘stop cassette’ was co-injected to guarantee the introduction of a stop codon and to facilitate PCR genotyping. The bottom sequence indicates the resultant genomic sequence at the targeted locus with the inserted region (orange box) and the position of stop codon (green). (C–E) Double fibronectin mutants exhibit precocious neural tube convergence and disruption of bilateral symmetry. Quantification of the dorsal-ventral length (C, as indicated by red double arrow) and the cross-sectional area (D, as indicated by the red zone) of the neural tube along the anterior-posterior axis starting from the last somite boundary (0 μm). Measurements were performed on transverse sections taken every 20 μm. Dots represent means and error bars represent SD. Sample size n = 10 PSMs on five embryos for each genotype. (E) Quantification of left-right asymmetry in PSM area. Each dot denotes an absolute difference in left and right PSM areas at each transverse section. Sample size: n = 75 sections from five embryos for each genotype. **p<0.005, T-test. fn1a-/-;fn1b-/- vs WT, p=1.4e-3.

We examined the effect of loss of inter-tissue adhesion on the PSM and observed an abrogation of bilaterally symmetric morphogenesis. We measured the left-right differences in PSM cross-sectional areas (Figure 1G) and found that both MZ itgα5-/- and cdh2-/-; MZ itgα5-/- double mutants exhibited loss of bilateral symmetry. By contrast, cdh2 mutants did not have symmetry defects. Local asymmetries were also observed in MZ itgα5-/- and cdh2-/-; MZ itgα5-/- double mutants in the length of the interface between PSM and neural tube (PSM|NT interface) and the angle formed at the lateral edge of this interface (Figure 1—figure supplement 2C and D). An explanation of these asymmetries is that reduction of cell-matrix interactions creates local tissue detachments (arrowheads in Figure 1D and E, Figure 1—figure supplement 2E and F) which in turn leads to disequilibrium in inter-tissue adhesion along the left and right PSM|NT interfaces.

A computational model relates tissue shape changes to tissue mechanics

To understand how variable levels of cell-cell adhesion and inter-tissue adhesion underlie the differences in tissue shapes across genotypes, we designed a computational 2D model with variable cell-cell adhesion and inter-tissue adhesion and tested whether the model can predict tissue shapes. We modeled a 2D transverse section of four connected tissues (NT, left and right PSM and notochord [NC]) (see Materials and methods for details). In this coarse-grained model, we do not directly consider individual cells, rather the tissues are considered as soft units with an internal pressure (blue arrows in Figure 2A) and an elastic surface made of movable points interlinked by springs (green surface springs in Figure 2A). These connected surface springs model tissue surface tension. This tissue surface tension resists the internal pressure and was shown to be proportional to the cell-cell adhesion strength inside a tissue (David et al., 2014; Manning et al., 2010). The tissues are attached to each other by another set of springs (red springs in Figure 2A), which model inter-tissue adhesion via cell-Fibronectin interactions. Overall, there are three parameters in the model: the surface stiffness (spring constant KS for surface springs), the adhesion stiffness (spring constant Kadh for adhesive springs), and the internal pressure (P). The surface stiffness and the adhesion stiffness positively correlate with the levels of Cadherin-dependent cell-cell adhesion and Fibronectin-mediated inter-tissue adhesion, respectively.

To determine how the model parameters affect tissue morphology, we analyzed the simulated tissue shapes. The internal tissue pressure should depend on the net fluid content inside a tissue, and there is no obvious reason to vary this quantity across genotypes. Hence, we fixed the internal pressure (p=5) depending on an earlier model of soft grains (Åström and Karttunen, 2006) in such a way that the simulated shapes qualitatively resemble in vivo tissue shapes in 2D transverse sections (Figure 2B). Irrespective of choices of Ks and Kadh, we found that the PSM|NT and the PSM and epidermis interface (PSM|E) always have very different curvatures (Figure 2C). The PSM|NT interface is straight and has much higher radius of curvature than the PSM|E interface which is curved (Figure 2C). This prediction was confirmed experimentally in vivo (Figure 2C).

The parameters Ks and Kadh were systematically varied in simulations to assess their influence on the shape of the interface between NT and PSM (Figure 2—figure supplement 1). We measured two shape metrics: the length of the interface between the PSM and neural tube (L PSM|NT, blue boxes in Figure 2B) and the angle at the lateral edge of this interface (angle Θ in Figure 2B). We found that increasing surface stiffness decreases the interfacial length, while increasing inter-tissue adhesion increases interfacial length (Figure 2—figure supplement 1A and B). Thus, inter-tissue adhesion acts like a ‘zipper’ between two tissues. In fact, low adhesion stiffness decouples the tissues, which is evident from the local detachments seen in our simulations (Figure 2B top right, arrowhead) and similar to detachments observed in MZ itgα5 mutants and cdh2; MZ itgα5 mutants (Figure 1D and E).

This simple computational model can account for the gradual narrowing of the neural tube along the medial lateral axis as it develops (Figure 2—figure supplement 1C). We can assume that the NT-PSM interface is locally at steady-state along the anterior-posterior axis, and the observed tissue shape change along the anterior-posterior axis may be caused by a progressive increase in Ks along that axis. Indeed, the zebrafish PSM progressively solidifies from posterior to anterior in a cadherin2-dependent manner (Mongera et al., 2018). We found that the length of the medial to lateral interface between the PSM and NT (L PSM|NT) steadily decreases with increasing surface stiffness when other parameters are fixed (Figure 2—figure supplement 1A).

Given the above correspondence between in vivo and in silico observations, we next assigned reasonable values of surface stiffness (KS) and inter-tissue adhesion stiffness (Kadh) that reproduce morphometrics of wild-type embryos. We note that in vivo the value of the interfacial length (L PSM|NT) decreases to 0.6 of the maximum value at the anterior end of PSM relative to the posterior end (Figure 2—figure supplement 1C). We also found in silico that L PSM|NT roughly falls to 0.6 of the maximum value at KS ≈ 100 for a fixed Kadh (Figure 2—figure supplement 1A). Since we are interested in steady-state shapes near the anterior PSM, we may take this value to represent the wild type. Next, we consider the value of Kadh. In simulations, we varied Kadh for different fixed values of KS, and measured the medial-lateral length of NT relative to the interfacial length between NT and PSM (Figure 2—figure supplement 1G). In vivo, this ratio (ML length of NT/L PSM|NT) is about two on average for the anterior 140 μm of PSM. In silico, we found that irrespective of the KS value, this ratio saturates around a value of 2.7 in the range of Kadh = 8 to 12 (marked in red in Figure 2—figure supplement 1G). Based on the above analysis, we then represented the wild-type embryos by a pair of values: (KS,Kadh)=(100,10).

After fixing the wild-type parameters, we then chose the parameter values corresponding to cdh2 mutants and MZ itgα5 mutants by matching the in silico and in vivo lengths of PSM|NT interface in these mutants relative to its wild-type values (Figure 2E). For cdh2 mutants, the mean length of PSM|NT is around 1.5 times higher than wild type. To reproduce the experimentally observed increase of L PSM|NT relative to wild-type, we assigned reasonable parameter values to cdh2 mutants depending on biological expectations. First, we lowered the surface stiffness relative to wild type, since low cell-cell adhesion is known to reduce tissue surface tension (David et al., 2014; Manning et al., 2010). Second, Cadherin 2 was shown to inhibit Integrin α5 activation and Fibronectin matrix assembly in the PSM (Jülich et al., 2015; McMillen et al., 2016). Therefore, we may assign a higher adhesion stiffness value to cdh2 mutants compared to wild type. After systematic exploration of the parameter space in simulations, we found a pair of parameter values, (KS,Kadh)=(55,12), that reproduce the in vivo increase of L PSM|NT relative to wild-type (1.55 times).

Following the same procedure for MZ itgα5 mutants, the in vivo data indicate that MZ itgα5 mutants exhibit a mean PSM|NT interface length 0.77 times that of the wild-type value. Since cell-matrix interaction is reduced in MZ itgα5 mutants, it is logical to assume a lower inter-tissue adhesion for this genotype relative to wild type, but the surface stiffness was kept same as wild type. We found that a pair of parameter values, (KS,Kadh)=(100,6.5), reproduce the experimentally observed decrease of L PSM|NT relative to wild-type (0.78 times).

Using the parameter values corresponding to cdh2 mutants and MZ itgα5 mutants, we can then predict the interfacial length for cdh2; MZ itgα5 mutants simply by combining these parameter values. The double mutants are represented using the value of inter-tissue adhesion in MZ itgα5 mutants, and the same value of surface stiffness as cdh2 mutants (Figure 2D). Hence, cdh2; MZ itgα5 mutants are represented by the values: (KS,Kadh)=(55,6.5). These parameter choices for cdh2 mutants and MZ itgα5 mutants accurately predicted the in vivo interfacial length of cdh2; MZ itgα5 mutants, (Figure 2E). Importantly, although we assigned the parameter values depending on the relative interfacial lengths of cdh2 mutants and MZ itgα5 mutants, these parameter choices also reproduced the experimentally observed trends in the variation of interfacial angle Θ across genotypes (Figure 2F).

The neural tube and PSM are linked via an adhesive lap-joint with gradients of F-actin, Myosin-II and Fibronectin matrix

The observation that the PSM|NT and PSM|E interfaces have very different curvatures intuitively suggest that they are under different levels of tension. Therefore, we analyzed the tension distributions at tissue surfaces in our simulations (Figure 3A). Interestingly, the model predicted a gradient of tension at the neural tube side of PSM|NT interface with a higher tension on the lateral side of the interface and a lower tension on the medial side (see dashed box, Figure 3A). In contrast, the medial-lateral tension distribution at the PSM|E surface is predicted to be homogeneous.

Figure 3. Gradients of Fibronectin matrix and F-actin correlate with in silico gradients of tension.

(A) Heat map of the tension distribution along tissue surfaces in silico. Warmer colors represent higher tension. Inset: magnification of the PSM|NT interface showing a medial-lateral tension gradient on the neural tube side of the interface. (B–D) Transverse sections taken 60 μm away from last somite boundary on a 12–14 s stage embryo co-labeled for Fibronectin (FN, red) and F-actin (green). There are colocalized medial-lateral gradients of both F-actin and Fibronectin matrix along the PSM|NT interface (dashed box). Star denotes differentiating myofibers that show high F-actin signal. Scale bars = 20 μm. (E) 3D schematic of the PSM|NT interface (grey) and the PSM|E interface (orange). To quantify matrix assembly along these interfaces, FN matrix signal is sorted into two categories based on size: small matrix elements (cyan) and large matrix elements (magenta). See SI for details. The F-actin signal (F, I), FN signal (G, J), and processed images of small and large matrix elements (H, K) are shown. The PSM|NT interface exhibits medial-lateral gradients of F-actin and Fibronectin (F–H), whereas the PSM|E interface shows an increase in F-actin and Fibronectin matrix assembly along the posterior to anterior axis (I–K). All images are projected dorsal views. A = anterior, P=posterior, M = medial, L = lateral. Scale bar = 10 μm. Quantification of the medial-lateral distributions of F-actin (L) and small and large FN matrix elements (M) along the PSM|NT interface. The bracket in (L) denotes the differentiating myofibers rich in F-actin. Quantification of the medial-lateral distributions of F-actin (N) and small and large FN matrix elements (O) along the PSM|E interface. Quantification the density of F-actin (P) and small and large matrix elements (Q) along the anterior-posterior axis of the PSM|E interface. Data represent means and SD. Sample sizes: L, n = 8 PSMs from six embryos; N, P, n = 7 PSMs from five embryos; M, O, Q, n = 10 PSMs from six embryos. (R) The NT-PSM interfaces represented as a lap-joint with a single sided strap. Neural tube (magenta) acts as a strap that is adhered to the two PSMs (cyan) via a graded adhesive (red) made of Fibronectin. Medial and ventral edges of PSM are attached to the notochord and yolk surface respectively (dashed region). Black arrows denote neural tube convergence and green arrows denote resistance to this convergence via the adhesive. Neural tube convergence with respect to the adhesive produces shear stress. Established theories of lap-joint predict a stress gradient with higher stress at the lateral edge of the PSM|NT interface. Extra adhesive, called a ‘spew fillet,’ in an arced shape at the lateral sides of the strap strengths the joint. (S) Transverse section on a 12–14 s stage embryo labeled for Fibronectin (FN, red) illustrating the spew fillet of FN matrix (arrowhead). Scale bar = 20 μm.

Figure 3.

Figure 3—figure supplement 1. Medial-lateral gradients of Myosin II and Fibronectin matrix tension at the PSM|NT interface.

Figure 3—figure supplement 1.

(A–C) Embryos were injected with myl12.1-EGFP mRNA to visualize distribution of Myosin-II (Araya et al., 2019; Behrndt et al., 2012). (A) A dorsal view of the neural tube of a live 12-somite stage embryo. The image shows the first 100 μm posterior of the last somite boundary in a single confocal plane roughly 10 μm underneath the dorsal surface of the neural tube. Local enrichment of Myosin-II can be seen in the lateral surface of the neural tube (white arrowheads). Anterior is is up. The dashed line indicates the position of the transverse section in B. Scale bar = 25 μm. (B) A transverse section 60 μm away from last somite where enrichment of Myosin-II can be seen both along the lateral side of the neural tube (yellow arrowhead) and the lateral part of the PSM|NT interface (white arrowhead). Scale bar = 25 μm. (C) Quantification of the relative Myosin II levels reveals a medial to lateral increase of Myosin-II levels from the medial part of PSM|NT interface to the lateral side of the neural tube. Transverse sections were generated every 5 μm along the first 100 μm posterior of the last somite boundary. For each section, the neural tube border was divided into three regions as indicated on the transverse section (top panel): the medial half of the PSM|NT interface (purple), the lateral half of the PSM|NT interface (blue), and the adjacent lateral side of the NT (orange). The mean myl12.1-EGFP intensity was measured in each region, and the relative intensity ratios (Lateral PSM|NT/Medial PSM|NT; NT side/Lateral PSM|NT; NT side/Medial PSM|NT) were calculated on each slice and averaged for each embryo. Average ratios across all embryos were then plotted (bottom panel). All ratios are above 1 according to the 95% confidence intervals (error bars). The difference between the ratios was evaluated via T-test. Sample size: n = 25 data points (each point is the average of 21 slices per embryo), from 13 embryos (two sides per embryo) from four experiments. (D–I) Immunostaining with the H5 antibody on 12 s stage embryos injected with FN1a-mKIKGR13.2-hsFNIII10-11 mRNA. The H5 signal (D, G), mKIKGR signal (E, H), and processed heatmaps of the H5/mKIKGR ratio (F, I) are shown. All images are projected dorsal views with anterior to the top and medial to the left. Scale bars = 10 μm. The PSM|NT interface (D–F) exhibits an increasing medial-lateral gradient of H5. By contrast, the H5/mKIK ratio shows an opposite gradient as the tension on individual fibers is lower laterally where stresses are distributed over more Fibronectin molecules. (G–I) The PSM|E interface does not exhibit any medial-lateral gradient. (J–M) Quantification of the medial-lateral distributions of H5 and mKIKGR levels (J, L) and the H5/mKIKGR ratio (K, M) along the PSM|NT (J, K) or PSM|E (L, M) interface. Sample size: n = 12 PSM|NT and 14 PSM|E interfaces from 10 and 9 embryos, respectively from three experiments. The average slopes of the H5/mKIKGR ratios for the PSM|NT and PSM|E interfaces differ (**, p=0.0046, T-test).
Figure 3—figure supplement 2. Epithelialization of PSM surface cells and increases in F-actin intensity in PSM cells as the PSM matures from posterior to anterior.

Figure 3—figure supplement 2.

(A, B) Transverse sections taken in the anterior PSM (A, 0–100 μm away from last somite boundary) or posterior PSM (B, 200–300 μm away from last somite boundary) on 12–14 s stage embryos co-stained for Fibronectin (FN, red) and F-actin (green). Asterisks denote PSM surface cells. Scale bars = 10 μm. (C) Quantification of PSM surface cell aspect ratio in the anterior and posterior portions of the PSM. Sample size: n = 93 cells (anterior PSM) and 92 cells (posterior PSM) from three embryos. Anterior vs posterior, p=7.46e-5. (D–E) Quantification of the mean F-actin intensity of the PSM surface cells region (D) or PSM internal cells region (E) in the anterior and posterior PSM from three embryos. Each dot represents a transverse section for which the mean F-actin signal within the surface cells or internal cells was measured and normalized by the average intensity of the signal in the posterior sections of the same embryo. Sample size: n = 24 sections (anterior PSM) and 25 sections (posterior PSM). ***p<0.0005 using a T-test. (D) Anterior vs posterior, p=5.62e-7. (E) (D) Anterior vs posterior, p=7.7e-4.

To test these predictions in vivo, we analyzed F-actin intensity as an indicator of cortical tension. Consistent with the model prediction, we observed an increasing medial to lateral gradient of F-actin along the PSM|NT interface (Figure 3B, F and L). A parallel gradient of Myosin-II localization was also observed (Figure 3—figure supplement 1A–1C). Fibronectin matrix assembly is a force-induced process dependent upon cell actomyosin contractility (Zhong et al., 1998; Lemmon et al., 2009; Dzamba et al., 2009). We therefore analyzed the Fibronectin matrix to determine whether there was a correlation between levels of F-actin and Fibronectin matrix assembly at the tissue interfaces (Figure 3C and D). Since Fibronectin matrix is assembled from soluble and small matrix aggregates into large fibers, we quantified the topology of the Fibronectin matrix by sorting into small and large matrix elements, color coded in cyan and magenta, respectively (Figure 3H, K, M and O). In correlation with the F-actin gradient, we observed a medial to lateral gradient of Fibronectin matrix assembly as large assembled elements were enriched at lateral edge of the interface, while small matrix elements were evenly dispersed. Lastly, we used a monoclonal antibody that recognizes an epitope in human Fibronectin that is exposed when Fibronectin is under tension (Cao et al., 2017). In embryos expressing a chimeric zebrafish/human Fibronectin, we observed a medial to lateral gradient of Fibronectin under tension along the PSM|NT interface (Figure 3—figure supplement 1D–1F, J and K). All together, these data support the model prediction that there is an increasing medial to lateral gradient of tension along the interface between the PSM and neural tube.

These medial-lateral gradients of F-actin and Fibronectin matrix were only observed at the PSM|NT interface. Both F-actin, Fibronectin matrix assembly and Fibronectin under tension were homogenously distributed medial-laterally at the PSM|E interface (Figure 3B–O and Figure 3—figure supplement 1G–1I and L–M), which is again consistent with the model predictions. Instead, this interface was characterized by a progressive posterior to anterior increase in F-actin density (Figure 3I and P). Similarly, we observed a posterior to anterior increase in the density of large matrix elements and decrease in the density of small matrix elements (Figure 3K and Q). These opposing gradients suggest that the matrix is progressively assembled from posterior to anterior by crosslinking small Fibronectin fibrils to form large fiber networks (Figure 3J). This posterior-to-anterior increase in matrix density and F-actin at the PSM|E interface also correlates with the progressive epithelialization of PSM surface cells and a posterior to anterior increase of F-actin signal in both internal cells and surface cells of the PSM (Figure 3—figure supplement 2).

Overall, the intriguing observation here is that the homogeneous medial-lateral distribution in F-actin and Fibronectin density observed at the PSM|E interface is lost at the PSM|NT interface, which instead displays a medial-lateral gradation both in F-actin and the Fibronectin fibers. Our simplified model suggests that this behavior may result from the particular distribution of mechanical stress at the PSM|NT interface. This interface between two converging tissues mechanically resembles an ‘adhesive lap joint’ that is commonly used in engineering and is comprised of partially overlapping components bound via an adhesive. The structure formed by the apposition of neural tube and PSM tissues can be idealized as a particular type of lap joint, a single-sided strapped joint (Ghoddous, 2017), where the neural tube on top of the PSM acts as a single sided strap bridging the two PSMs via a Fibronectin adhesive (Figure 3R). Shear stress at the overlapping interface of a lap joint is highest at the lateral edges of the overlap and lowest in the middle (Goland and Reissner, 1944). This nonhomogeneous stress distribution can be compensated for by grading the adhesive in the overlap (Carbas et al., 2014). In accordance to this engineering insight, we observe a graded Fibronectin ‘adhesive’ at the PSM|NT interface. An important distinction is that shear stress is generated by an externally applied load in an engineered lap joint, while at the PSM|NT tissue interface, shear stress is generated via tissue motion relative to one another due to convergence extension. This shear stress at the adhesive interface resists the convergence of neural tube (green and black arrows in Figure 3R, right). In engineering, excess adhesive can be added to the edges of the overlap and sculpted into an arc to strengthen the joint by distributing the forces over a larger area (Figure 3RLang and Mallick, 1998). These arced adhesive ‘spew fillets’ are also observed in our system at the lateral edges of the PSM|NT interface (Figure 3S). In addition, the geometry of the adherent materials impacts the strength of a lap joint. A rounded end (rather than an end with sharp corners) of adherent materials eliminates singularities in the stress field and strengthens the joint by more evenly distributing the forces (Adams and Harris, 1987). Here, the tissue edges are rounded at PSM|NT interface. Thus, the PSM|NT interface behaves like an optimally engineered adhesive lap joint with rounded edges, a graded adhesive and an adhesive spew fillet.

Effects of decreases in cell-cell adhesion and cell-matrix interaction on the PSM|NT interface

In our computational model, we hypothesized a greater inter-tissue adhesion between the neural tube and the PSM in cdh2 mutants and a lower inter-tissue adhesion in itgα5 mutants compared to wild-type embryos. These assumptions were sufficient to accurately predict the relative in vivo values of both the interfacial angle and length of PSM|NT interface. To further test these model assumptions, we quantified Fibronectin matrix assembly and F-actin at PSM|NT interface in cdh2 mutants and MZ itgα5 mutants. We observed relatively high average levels of Fibronectin at the interface in the cdh2 mutants and the gradients of both Fibronectin matrix assembly and F-actin were lost (Figure 4A–C and G–I). In contrast, MZ itgα5 mutants have lower levels of Fibronectin, and the medial-lateral gradients of F-actin and Fibronectin matrix assembly were maintained (Figure 4D–K).

Figure 4. Reduction of cell-cell adhesion eliminates the medial-lateral gradients of Fibronectin matrix and F-actin.

Figure 4.

PSM|NT interfaces of cdh2-/- (A, B, C) and MZ itgα5-/- (D, E, F) mutants at the 12–14 somite stage. F-actin (A, D), Fibronectin (B, E), and processed images of small and large Fibronectin matrix elements (C, F) are shown. All images are dorsal views. A = anterior, P = posterior, M = medial, L = lateral. Scale bars = 10 μm. (G) Quantification of Fibronectin density within the anterior 150 μm of the PSM|NT interface in wild type, cdh2-/- and MZ itgα5-/-. cdh2-/- vs WT, p=9.4e-3; MZ itgα5-/- vs WT, p=0.012. Quantification of the medial-lateral distributions of the F-actin (H, J) and small and large Fibronectin matrix elements (I, K) at the PSM|NT interface in cdh2-/- (H, I) and MZ itgα5-/- (J, K). Sample sizes: G, I, K, n = 10 PSMs from six embryos for WT, n = 10 PSM from five embryos for cdh2-/-, n = 5 PSM from five embryos for MZ itgα5-/-. Sample sizes: H, n = 7 PSM from four embryos; J, n = 5 PSM from five embryos.

Lap joints exhibit graded shear stress at the interface of two overlapping materials (Goland and Reissner, 1944). In our system, the presence of a shear stress at the interface should depend on the relative motion between the attached converging tissues, and this relative motion can be reduced in the absence of neural tube convergence. If the medial-lateral gradation of Fibronectin matrix assembly and F-actin are shear-driven, we can expect a positive correlation between neural tube convergence and presence of these gradients. Our data for cdh2 mutants strengthen this idea as these mutants exhibit a reduction in neural tube convergence as well as loss of the gradients. On the other hand, itgα5 mutants do not have a defect in convergence and they retain the potential to establish this graded assembly, though we observe an overall reduction in Fibronectin matrix production.

Fibronectin is required for inter-tissue adhesion

To directly examine whether Fibronectin matrix is required for inter-tissue adhesion and restriction of neural tube convergence, we generated double mutants for the two zebrafish fibronectin genes, fn1a and fn1b, using CRISPR/Cas9 (Figure 5—figure supplement 1B). Double homozygous fibronectin mutant embryos (fn1a-/-;fn1b-/-) completely lacked Fibronectin matrix as detected by immunohistochemistry (IHC) (Figure 5D). fn1a-/-;fn1b-/- embryos exhibited a precociously converged neural tube, local tissue detachments, and displayed local disruptions of bilateral symmetry consistent with the MZ itgα5-/- phenotype (Figure 5A and B, Figure 5—figure supplement 1C–1E).

We created a photoconvertible Fibronectin transgenic to enable us to ‘paint’ the extracellular matrix and quantify deformation of the ‘painted spots’ in live embryos. The transgenic line expresses Fibronectin 1a tagged with the green-to-red photoconvertible protein mKikumeGR under the control of the heat-shock promoter (Tg hsp70:fn1a-mKIKGR, Figure 5—figure supplement 1A). We tested the functionality of the transgene by creating fn1a-/-;fn1b-/-; hsp70:fn1a-mKIK embryos. fn1a-/-;fn1b-/- embryos are not viable, and we observed somite border defects consistent with published loss of function studies in zebrafish (Figure 5GJülich et al., 2005; Koshida et al., 2005). Heat-shocked fn1a-/-;fn1b-/-; hsp70:fn1a-mKIK embryos exhibited normal Fibronectin assembly and somite boundary morphologies, demonstrating the functionality of the transgene (Figure 5C–H and Tables 1 and 2). Using this transgene, we compared the dynamics of matrix remodeling at different tissue interfaces in wild-type and mutant embryos.

Table 1. Rescue experiments with a heat shock hsp70: fn1a-mKikGR at shield stage.

For each experiment, fn1a-/+; fn1b-/+;hsp70: fn1a-mKikGR adults were crossed. Three crosses include a parent homozygous for the transgene while one cross was from parents both hemizygous for the transgene. Embryos from each clutch were divided in half. 50% of embryos were controls that were not heat shocked, and 50% of embryos were heat shocked at the shield stage. The numbers shown correspond to the total number of embryos presenting each phenotype (either wild-type, fn1a-/- or fn1a-/-; fn1b-/-) based on the presence of somite border defects at the 14–18 somite stage.

Embryos with no heat shock Heat shocked embryos
Fluorescent Non-fluorescent
Phenotypically wild-type 301 351 26
fn1a-/- 91 0 3
fn1a-/-; fn1b-/- 20 0 4

Table 2. Rescue experiments with heat shock fn1a-mKikGR at the 10–12 somite stage on pre-sorted fn1a-/-; fn1b-/- embryos.

For each experiment, fn1a-/+; fn1b-/+;hsp70: fn1a-mKikGR adults were crossed and embryos sorted for the fn1a-/-; fn1b-/- morphological phenotype were heat shocked at the 10–12 stage and assayed for somite border defects at 24 hpf. 1 or two embryos per experiment were not heat shocked as a control. Four experiments were performed and the numbers shown in the table represent the total number of embryos with each phenotype. * HS at the 12-somite stage will rescue body elongation and head development defects observed in the fn1a-/-; fn1b-/- embryos, however heat shock will not fully rescue border defects of the first 1–6 somites.

Embryos with no heat shock Heat shocked embryos
Fluorescent Non-fluorescent
Rescued phenotype * - 13 0
fn1a-/-; fn1b-/- 5 0 1

Medial-lateral matrix remodeling at the PSM|NT interface depends on neural tube convergence and tissue attachment

We assayed Fibronectin matrix dynamics at tissue interfaces in vivo via confocal timelapse microscopy. When transgenic embryos were heat-shocked at the 2–3 somite stage, we observed a fluorescently labeled Fibronectin matrix at the 12-somite stage (Figure 6B and C). The topology of the Fn1a-mKikGR matrix was consistent with the matrix topology observed at each interface in fixed wild-type samples subjected to Fibronectin IHC. We photoconverted spots of matrix 25–35 μm in diameter either at the PSM|NT or PSM|E interface (Figure 6A–C) at a distance of 150–200 μm from the last somite, and imaged every 15 min. One hour after the photoconversion, the spots at the PSM|NT interface showed significant shrinking along the medial-lateral direction, while the spots at the PSM|E interface did not shrink (Figure 6B and C and Video 2).

Figure 6. Anisotropic Fibronectin matrix remodeling dependent upon neural tube convergence and inter-tissue adhesion.

(A) 3D schematic indicating positions of the photoconverted regions (red dots) along the PSM|NT and PSM|E interfaces. A = anterior; P = posterior; M = medial; L = lateral. Spots of photoconverted Fibronectin matrix at PSM|NT interface (B) or at PSM|E interface (C). (i) Dorsal views of heat-shocked Tg hsp70:fn1a-mKIKGR embryos at 12 somite stage showing Fibronectin matrix (green) and Fibronectin spots immediately after photoconversion (red). Dotted lines delineate the boundary between the PSM|NT and PSM|E interfaces. Images of spots of Fibronectin at early (ii) and late (iii) timepoints. (D) Quantification of the medial-lateral width of the photoconverted spot over time. Sample size: n = 9 spots from four embryos for each interface. (E–J) Analysis of FN matrix remodeling at PSM|NT interface in MZ itgα5-/-. (E–F) Transverse sections of heat-shocked 12 somite stage MZ itgα5-/-; Tg hsp70:fn1a-mKIKGR embryos. MZ Itgα5 mutants have local tissue detachments (arrowhead in F). (G–I) Photoconversion experiments fall into three groups based on tissue detachment at the level of the photoconverted interface (red line in schematics). (i–ii) Images of the photoconverted spots at the beginning of the movie (i) and one hour later (ii). (J) Quantification of the medial-lateral width of the photoconverted spot over time. Sample size: n = 5 spots from three embryos for each of group 1 and 2; 7 spots from four embryos for group 3. (K–Q) Analysis of FN matrix remodeling at PSM|NT interface in cdh2-/-. (K–M) Cdh2 mutants show variability in neural tube convergence and fall into three groups based on the degree of neural tube convergence at the level of the photoconverted interface. Either the neural tube converged (Group 1 (K)); did not converge (Group 2 (L)); or converged asymmetrically (Group 3 (M)). (i–ii) Transverse sections of cdh2-/-; Tg hsp70:fn1a-mKIKGR heat-shocked embryos at the beginning (i, 12 somite stage) and at the end of the time lapse (ii). Dotted lines delineate the neural tube contour. Yellow lines indicate the midline of the embryo used as reference to divide the neural tube in left and right halves. Yellow double arrows indicate how the medial-lateral width of the total neural tube or half of the neural tube was quantified. (iii-vi) Images of the photoconverted spots at the beginning of the movie (iii, v) and one hour later (iv, vi). (N, P) Quantification of the medial-lateral length of the total neural tube (N) or of the half neural tube (P) over time. Sample size: group 1, four embryos; group 2, four embryos; group, three embryos. One transverse section per embryo. (O, Q) Quantification of the medial-lateral width of the photoconverted region over time. Sample size: group 1, n = 8 spots from four embryos; group 2, 10 spots from three embryos; group 3, 3 spots from three embryos. (R–U) Analysis of FN matrix remodeling at the PSM|NT interface in cdh2-/-; MZ itgα5-/- embryos. (R, S) Embryos were sorted into two categories based on a high (Group 1) or low (Group 2) degree of neural tube convergence at the level of the photoconverted interface. (i–ii) Transverse sections of cdh2-/-; MZ itgα5-/-; hsp70:fn1a-mKIKGR heat-shocked embryos at the beginning (i, 12 somite stage) and at the end of the time lapse (ii). Dotted lines delineate the neural tube contour. (iii-iv) Images of the photoconverted spots at the beginning of the movie (iii) and 1 hr later (iv). (T) Quantification of the medial-lateral length of the neural tube over time. Sample sizes: n = 3 neural tube sections on two different embryos for each of groups 1 and 2. (U) Quantification of medial-lateral width of the photoconverted region over time. Sample sizes: n = 8 spots from three embryos for group 1; 4 spots from two embryos for group 2. All images of photoconverted spots are projected dorsal views perpendicular to the interfaces with anterior to the top and medial to the left. Scale bars of all images = 15 μm. In all plots, dots represent means and error bars represent SD.

Figure 6.

Figure 6—figure supplement 1. Medial-lateral ECM remodeling along the PSM|NT interface.

Figure 6—figure supplement 1.

(A–D) Quantification of the anterior-posterior length of the photoconverted FN matrix spots over time in wild-type PSM|NT and PSM|E interfaces (A), and in the PSM|NT interfaces in MZ itgα5-/- (B), cdh2-/- (C), and cdh2-/-; MZ itgα5-/- (D). In all plots, dots represent means and error bars represent SD. Sample sizes are as indicated in Figure 6. (E) Displacement field analysis of the photoconverted spots by particle image velocimetry (PIV). A displacement fields is constructed using a PIV plugin in ImageJ (see Materials and methods) using two successive time-frames. A frame-to-frame correlation of signals was established, and all vectors were plotted in a rose plot. A = anterior P=posterior M=medial L=lateral. (F–G). Distribution of displacement directions of the photoconverted regions at the PSM|NT (F) and at the PSM|E (G) interfaces in wild-type embryos. Each rose plot represents the data for one photoconverted region obtained as described in (E). In F, there is a bias toward anterior-lateral direction in six out of seven samples while there is no consistent directional bias in G.

Video 2. Tracking Fibronectin matrix dynamics at tissue interfaces.

Download video file (1.9MB, mp4)

Movies representing 105 min time-lapses (15 min interval) after local photoconversion (red spots) of Fn1a-mKikGR matrix (green) at 12 somite stage, either at the PSM|NT interface (top movie) or at the PSM|E interface (bottom movie). Dorsal views with anterior to the top.

We quantified the spatiotemporal dynamics of photoconverted Fibronectin matrix spots after thresholding to account for photobleaching. The spots were converted into binary images and, we used the standard deviation of the white pixel distribution along the medial-lateral and anterior-posterior axes as measures of the width and height, respectively. This metric quantifies the general deformation of the photoconverted spot over time. At the PSM|NT interface, the medial-lateral width of the photoconverted region decreased by 40%, while the anterior-posterior height was unchanged (Figure 6D and Figure 6—figure supplement 1A). In contrast, the matrix at the PSM|E interface did not exhibit medial-lateral shrinking (Figure 6D and Figure 6—figure supplement 1A). Further analysis of the directionality of matrix remodeling revealed that there is medial to lateral bias in the displacement fields of the PSM|NT interface but no anisotropy in the displacement fields of the PSM|E interface (Figure 6—figure supplement 1E–1G).

Lap joint theory suggests that inter-tissue adhesion is required for shear forces at the PSM|NT interface. We examined the effect of inter-tissue adhesion on shear driven Fibronectin matrix remodeling utilizing the variable inter-tissue detachment phenotype of MZ itgα5 mutants in three groups of photoconversion experiments (Figure 6E and F). In Group 1 embryos, the neural tube is attached on both sides to the PSM at the level of the photoconverted region (Figure 6G). In Group 2 embryos, tissues are detached ipsilateral to the photoconverted side but attached on the contralateral side (Figure 6H). In Group 3 embryos, tissues are attached ipsilateral to the photoconverted side but detached on the contralateral side (Figure 6I). In the absence of tissue detachment, the photoconverted matrix was remodeled in the medial-lateral direction similar to wild type (Figure 6G and J). In contrast, where tissues were ipsilaterally detached the medial-lateral remodeling was lost (Figure 6H and J). This result demonstrates that inter-tissue adhesion is necessary for the medial-lateral matrix remodeling. Strikingly, tissue detachment contralateral to the photoconverted region also affected matrix remodeling (Figure 6I and J). This contralateral phenotype illustrates a long-range effect of mechanical coupling, namely that ECM remodeling on one side of the embryo is responsive to morphogenic variability on the opposite side of the embryo.

We next asked whether the medial-lateral remodeling of the Fibronectin matrix at the PSM|NT interface was dependent on neural tube convergence by performing the photoconversion experiment in cdh2 mutants. These mutants exhibit variable neural tube convergence as measured by the change in medial-lateral width of the neural tube over time. We also observed bilaterally asymmetric convergence of the neural tube in some embryos, which we quantified as the change in medial-lateral width of the left and right halves (Figure 6M). We divided cdh2 mutants into three groups based the variable neural tube convergence phenotype. In Group 1, the neural tube is symmetric and slowly converges at the level of the photoconverted region (Figure 6K and N). In Group 2, the neural tube is symmetric at the level of the photoconverted region but convergence is severely retarded (Figure 6L and N). In Group 3, the neural tube converges asymmetrically at the level of the photoconverted region (Figure 6M and P). When the neural tube converges symmetrically, the matrix exhibits normal medial-lateral remodeling (Figure 6K and O). However, when the neural tube does not converge, there is no medial-lateral matrix remodeling (Figure 6L and O). Thus, anisotropic matrix remodeling at the PSM|NT interface depends on the neural tube convergence.

An interesting phenotype was observed when the neural tube converges asymmetrically. The side that exhibited a strong neural tube convergence defect displayed normal medial-lateral matrix remodeling, while anisotropic matrix remodeling was lost on the contralateral side where the neural tube converged (Figure 6M and Q). This result indicates that neural tube convergence on one side of the body impacts the Fibronectin matrix remodeling on the opposite side of the body.

We next performed the photoconversion experiments in cdh2; MZ itgα5 double mutants. Mutant embryos were sorted into two groups based on the degree of neural tube convergence. We observed medial-lateral Fibronectin matrix remodeling when the neural tube converged, whereas medial-lateral matrix remodeling was lost with diminished neural tube convergence (Figure 6R–U). Thus, these experiments confirmed that the medial-lateral remodeling of the matrix positively correlates with the neural tube convergence. Lastly, we did not observe any change in the anterior-posterior length of the photoconverted spots for any mutants, similar to wild type (Figure 6—figure supplement 1B–1D).

We revisited these contralateral effects with our in silico model using different parameter values for the left and right sides. Uniform parameters produce symmetric gradients in tension in the neural tube at the left and right PSM|NT interfaces (Figure 7A). When the adhesion stiffness (representing inter-tissue adhesion) is reduced along the left interface relative to the right interface, the left and right PSM become asymmetric in size and the contralateral tension gradient becomes shallower (Figure 7B). This result mimics both the morphological phenotype as well as the contralateral effects on Fibronectin matrix remodeling observed in MZ itgα5-/- embryos. We computationally implemented asymmetric neural tube morphogenesis observed in some cdh2 mutants by reducing the surface stiffness of one half of the neural tube (Figure 7C). Here, we observed a contralateral reduction in the tension gradient which mimics the contralateral effects on Fibronectin matrix remodeling observed in cdh2-/- embryos.

Figure 7. Fibronectin mediated inter-tissue adhesion ensures bilaterally symmetric morphogenesis but predisposes the neural tube to convergence defects.

Figure 7.

(A–C) In silico heat maps of the tension distributions along the tissue surfaces with left-right variation either in adhesion stiffness (B) or in surface stiffness (C), compared to a symmetric condition (A). Warmer colors represent higher tension. Insets: magnification of the right PSM|NT interface, which is unperturbed in every condition, to show the contralateral effects in tension gradients. The gradients at the neural tube side of the interface become shallower in B and C compared to A. (D) The Fibronectin matrix mediates inter-tissue adhesion like a ‘smart glue’ that dynamically remodels in a graded fashion at the PSM|NT interface in response to neural tube convergence to have higher density at zones of higher inter-tissue stress. This inter-tissue adhesion mechanically couples left and right PSM to the neural tube like a ‘lap joint’ and maintain bilateral symmetry during elongation. The Fibronectin matrix also provides resistance (green arrows) against the neural tube convergence (black arrow). Thus, the ECM can act like a double-edged sword. Too much matrix deposition maintains the symmetry, but slows down the convergence due to high resistance, and predisposes the neural tube to spina bifida-like phenotype with an open neural tube (cdh2 mutant, left panel). Conversely, reduction in matrix deposition helps the neural tube convergence by reducing the resistance (as shown by the rescue of neural tube convergence in double cdh2; itgα5 mutants), but it produces local tissue detachment and breaks the mechanical coupling between the tissues generating left-right asymmetries (itgα5 mutants, right panel).

Discussion

Here, we find that inter-tissue adhesion between the neural tube and left and right paraxial mesoderm ensures bilaterally symmetric morphogenesis. However, this inter-tissue adhesion predisposes the neural tube to convergence defects and spina bifida by requiring the neural tube to pull on the adjacent mesoderm (Figure 7D). We find that the mechanics of this inter-tissue adhesion resemble an adhesive lap joint which is well described in engineering. Fibronectin functions as the adhesive in this lap joint. Due the cellular mechanisms that regulate Fibronectin matrix assembly and remodeling, we find that Fibronectin responds to a gradient of stress by remodeling to the region of highest stress. Thus, Fibronectin functions as a ‘smart adhesive’ that continually remodels to where it is most needed.

Multiple lines of evidence suggest that the interface between the neural tube and PSM behaves as an optimally engineered adhesive lap joint. Mutants that reduce or eliminate the Fibronectin matrix exhibit a precociously converged neural tube implicating cell-Fibronectin matrix adhesion in constraining neural tube convergence. In vivo testing of predictions of a computational model suggests that the PSM-neural tube interface is under a medial-laterally graded stress. This stress gradient is characteristic of a lap joint (Goland and Reissner, 1944). The medial to lateral remodeling of Fibronectin produces a graded adhesive which strengthens the lap joint by accounting for the graded stress (Carbas et al., 2014). In addition, there is an arc-shaped domain of Fibronectin matrix at the rounded lateral edges of the PSM-neural tube interface. This domain of Fibronectin matrix is reminiscent of an 'adhesive spew fillet', which is an excess of adhesive present at the edges of a lap joint that fortifies the joint (Lang and Mallick, 1998). Moreover, the rounded edges of the tissues strengthen the lap joint by more evenly distributing stress (Adams and Harris, 1987).

The extracellular matrix (ECM) can act both as a mediator of mechanical forces and a stress sensor. The latter function arises by the activation of biochemical signaling pathways via Integrins in response to changes in ECM fiber morphology (Vogel and Sheetz, 2009). Moreover, Fibronectin fibrillogenesis is in a positive feedback loop with actomyosin contractility leading to colocalization of Fibronectin matrix, F-actin and traction forces. The combination of Fibronectin’s function as a mediator of mechanical forces, a stress sensor, and positive feedback with actomyosin contractility make Fibronectin a smart adhesive. This smart adhesive activity is revealed in our Fibronectin photoconversion experiments which show that the Fibronectin matrix continually remodels in response to neural tube convergence to create the medial-lateral gradient of matrix.

Folate deficiency is the best-known cause of spina bifida in humans, but it is currently unclear how this deficiency leads to a failure of neural tube convergence and closure. Genetic causes of spina bifida include mutations in the planar cell polarity pathway, which directs convergent-extension, and mutations in genes that regulate cytoskeletal remodeling during apical constriction. These two groups of mutations have more direct effects on neural tube morphogenesis, and thus the etiologies of these defects seem clear (Wallingford et al., 2013; Copp et al., 2015). Cadherin-2-mediated cell-cell adhesion is required for neural tube morphogenesis, but here we find that cadherin 2 mutant neural tubes are capable of convergence as long as they do not have the additional work of coupling the left and right paraxial mesoderm. Thus, the neural tube has to be maximally fit in order to converge and fuse, and any environmental or genetic deficiency that weakens the neural tube may lead to spina bifida. Indeed, in humans, neural differentiation appears to be relatively normal during failure of neural tube closure, but exposure to the amniotic fluid, which becomes toxic later in gestation, causes neural degeneration. This is likely a reason why prenatal surgical repair limits the neurological consequences of spina bifida: in the absence of degeneration more normal neural function can be achieved. Thus, folate deficiency may directly affect cell proliferation or epigenetics without dramatically altering neural differentiation (Copp et al., 2015). Folate increases cell traction force in neuronal cell culture (Kim et al., 2018), thus folate deficiency may cause spina bifida by diminishing the overall mechanical fitness of the neural tube. In principle, the mechanical consequences of folate deficiency on the neural tube could be tested in an animal model. Moreover, mobilization from the flanking mesoderm could rescue spinal cord closure in folate deficient and other environmentally and genetically weakened neural tubes.

Based on systematic analysis of cell motion in the tailbud, we previously hypothesized that PSM tissue assembly may involve a fluid to solid transition (McMillen and Holley, 2015). Recent experiments identifying gradual increases in tissue stiffness and cell packing during PSM maturation support this idea (Mongera et al., 2018). Our data here extend this model as we find that there are posterior to anterior increases in (1) F-actin around the cell cortices of PSM cells, (2) epithelization of cells on the surface of the PSM and (3) assembly of large Fibronectin fibers. This posterior to anterior pattern is consistent with the established relationship between cortical tension, Fibronectin matrix assembly and traction forces. Notably, the anterior-posterior patterns of Fibronectin and F-actin are only observed on the lateral surface of the PSM which interfaces the epidermis. Medially, along the neural tube-PSM interface, the lap joint mechanics predominate, and medial to lateral gradients of F-actin and Fibronectin are observed.

While our analysis has focused on the development of the posterior trunk, our model likely applies to the more anterior neural tube because it displays even more convergence. However, there is less convergence during the formation of the more posterior spinal cord in the tail. Thus, ECM-mediated inter-tissue adhesion is likely less of a mechanical impediment to the development of the most caudal spinal cord. However, during these later stages of body elongation, inter-tissue adhesion is important for establishing the chevron shape of the myotome which is the major derivative of the zebrafish somite (Tlili et al., 2019).

In summary, we find that the Fibronectin matrix ensures symmetric morphogenesis of the spinal column. During development, mechanical forces among attached tissues are intrinsically coupled to the ever-changing geometry, and to preserve symmetries, these forces need to be actively coordinated. In the course of vertebrate body elongation, we find that tissue mechanics are tuned to accomplish the competing goals of neural tube convergence and maintenance of bilateral symmetry. The mechanism that dynamically couples these embryonic tissues resembles adhesive lap joints which are utilized in processes ranging from aerospace manufacturing to woodworking. Thus, microscale embryo biomechanics can function very much like macroscale engineered structures.

Materials and methods

Key resources table.

Reagent type
(species) or
resource
Designation Source or reference Identifiers Additional
information
Strain, strain background (Danio rerio male and female) Wild-type strain TLAB ZIRC Crosses from AB strain (RRID:ZIRC_ZL1) with TL strain (RRID:ZIRC_ZL86)
Strain, strain background (Danio rerio male and female) Wild-type strain TLF ZIRC RRID:ZIRC_ZL86
Genetic reagent (Danio rerio) strain cdh2 mutant tm101 Lele et al., 2002 RRID:ZFIN_ZDB-GENO-080110-3
Genetic reagent (Danio rerio) strain MZ itgα5 mutant thl30 Jülich et al., 2005 ZIRC ID: ZL2023
Genetic reagent (Danio rerio) Tg(hsp70:fn1a-mKIKGR) This paper Transgenic line expressing,, fibronectin 1a tagged with mKIKGR under the control of the heat-shock promoter hsp70. See Material and methods section. Available in Scott Holley laboratory (Yale University)
Genetic reagent (Danio rerio) fn1a; fn1b
double mutant
This paper CRISPR/Cas9 generated mutant line where fn1a and fn1b genes have been knocked out by insertion of a stop cassette. See Material and methods section. Available in Scott Holley laboratory (Yale University)
Antibody Anti-Fibronectin antibody (Rabbit polyclonal) SIGMA F3648 1/100
RRID:AB_476976
Antibody Anti-V5 antibody
(Goat polyclonal)
Abcam Ab 9137 1/400
RRID:AB_307037
Antibody H5-V5-tag antibody (recombinant purified scFv) Cao et al., 2017 50 mg/ml
Antibody Anti-goat Alexa 555 (Donkey polyclonal) Thermofisher scientific A32816 1/200
RRID:AB_2762839
Antibody Anti-rabbit Alexa 555 (Donkey polyclonal) Invitrogen A31572 1/200
RRID:AB_162543
Sequence-based reagent sgRNA fn1a-/-line This paper 5’ATTTAGGTGACACTATAGGAGGGCACTCCTACAAGATGTTTTAGAGCTAGAAATAGCAAG3
Sequence-based reagent stop codon cassette oligonucleotide fn1a-/-line This paper 5’GAGGGAGGGCACTCCTACAAGTCATGGCGTTTAAACCTTAATTAAGCTGTTGTAGGATTGGAGACACATGGCAGA3
Sequence-based reagent sgRNA fn1b-/-line This paper 5’ATTTAGGTGACACTATAGGACTGCACATGTTTGGGAGGTTTTAGAGCTAGAAATAGCAAG3
Sequence-based reagent stop codon cassette oligonucleotide fn1b-/-line This paper 5’CGTGGACTGCACATGTTTGGGTCATGGCGTTTAAACCTTAATTAAGCTGTTGTAGGAGAGGGAAACGGACGCATC3
Sequence-based reagent fn1a DiagA1 primer This paper 5’GACTGTACTTGCATTGGCTCTG3
Sequence-based reagent fn1b DiagA1 primer This paper 5’GAGCGTTGCTATGATGACTCAC3
Sequence-based reagent stop A primer This paper 5’GCTTAATTAAGGTTTAAACGCC3
Recombinant DNA reagent mKikGR plasmid Habuchi et al., 2008
Recombinant DNA reagent Tg(hsp70:fn1a-mKIKGR) plasmid This paper Plasmid designed to generate the Tg(hsp70:fn1a-mKIKGR) transgenic line. See Materials and methods section for detailed information about the sequence of this transgene. Available in Scott Holley laboratory (Yale University)
Recombinant DNA reagent FN1a-mKIKGR13.2-hsFNIII10-11 plasmid This paper Plasmid designed to generate the mRNA coding for the human/zebrafish chimeric FN1a-mKIKGR13.2-hsFNIII10-11 protein. See Materials and methods section. Available in Scott Holley laboratory (Yale University)
Software, algorithm Imaris Bitplane RRID:SCR_007370
Software, algorithm Matlab Mathworks RRID:SCR_001622
Software, algorithm Fiji Opensource RRID:SCR_002285
Other Alexa Fluor 488 Phalloidin Life technologies A12379

Animal models

Zebrafish were raised according to standard protocols (Nüsslein-Volhard and Dahm, 2002) and approved by the Yale Institutional Animal Care and Use Committee. The TLAB and TLF wild-type strain were used. The tm101B allele of cdh2 was used (Lele et al., 2002). The MZ itgα5-/- mutant line is a maternal zygotic mutant line using the thl30 allele (Jülich et al., 2005). The single mutant lines and double mutant lines were crossed to the Tg (hsp70:fn1a-mKIKGR) line to the generate the mutants lines in transgenic background used in photoconversion experiments. Embryos were collected from pair-wise natural matings. Sex-specific data were not collected as zebrafish do not have a strictly genetic sex determination mechanism, and sex is determined after the first 36 hr of development studied here (Wilson et al., 2014).

Generation of a double mutant line for fn1a and fn1b genes

To generate a double mutant line for fn1a and fn1b genes, we first created single mutant lines for fn1a and fn1b genes separately using CRISPR. Single cell stage embryos were injected with a mix containing: Cas9 mRNA, a single guide RNA (sgRNA) specifically designed to target a chosen sequence in the exon 4 of fn1a gene or in the exon 5 of fn1b gene (see Figure 5—figure supplement 1 for detailed target sequences, and a stop codon cassette oligonucleotide Gagnon et al., 2014). Sequences for the fn1a-/- line: sgRNA(5’ATTTAGGTGACACTATAGGAGGGCACTCCTACAAGATGTTTTAGAGCTAGAAATAGCAAG3’); stop codon cassette oligonucleotide (5’GAGGGAGGGCACTCCTACAAGTCATGGCGTTTAAACCTTAATTAAGCTGTTGTAGGATTGGAGACACATGGCAGA3’). Sequences for the fn1b-/- line: sgRNA(5’ATTTAGGTGACACTATAGGACTGCACATGTTTGGGAGGTTTTAGAGCTAGAAATAGCAAG3’); stop codon cassette oligonucleotide (5’CGTGGACTGCACATGTTTGGGTCATGGCGTTTAAACCTTAATTAAGCTGTTGTAGGAGAGGGAAACGGACGCATC3’).

General details regarding the choice of target sequence, the design of the stop codon cassette oligonucleotide, the design and synthesis of the sgRNA and conditions of injection can be found in the detailed supplemental protocol described in Gagnon et al. (2014). Individuals positive for the insertion of the stop codon cassette were identified by PCR on genomic DNA using fn1a DiagA1/stopA primers or fn1b DiagA1/stopA primers: fn1a Diag A1(5’GACTGTACTTGCATTGGCTCTG3’) fn1b DiagA1 (5’GAGCGTTGCTATGATGACTCAC3’) stop A (5’GCTTAATTAAGGTTTAAACGCC3’).

Then single mutant lines were then crossed together to obtain the double mutant line.

Tg (hsp70:fn1a-mKIKGR) transgenic line generation and heat-shock driven transgene expression

Information concerning the sequence of the transgene is described in Figure 5—figure supplement 1A. The plasmid construct containing the transgene was generated following the previously described method (Jülich et al., 2015) with the mKikGR plasmid provided by the Atsushi Miyawaki laboratory (Habuchi et al., 2008). 75 ng/μl of plasmid were co-injected with 120 ng/μl of Tol2 mRNA at 1 cell stage. For both in vivo tracking of Fibronectin matrix dynamics and rescue experiments, embryos were heat-shocked by incubation 30 min at 38°C.

Fibronectin immunostaining, and F-actin and nuclei labeling

12–14 somite stage embryos were fixed overnight (4°C) in 4% PFA (in 1X PBS). After dechorionation in 1X PBS, embryos were rinsed 3 × 5 min in PBSDT (1% DMSO, 0.1% Triton in 1X PBS), permeabilized 3 min with Proteinase K (5 μg/ml in PBSDT), rinsed 2 × 5 min in PBSDT, post-fixed 20 min at RT in 4% PFA and finally rinsed 3 × 5 min in PBSDT. Blocking was done 2–3 hr at RT in blocking solution (1% Blocking reagent from Roche in PBSDT). Embryos were incubated O/N at 4°C with the primary antibody against Fibronectin (rabbit polyclonal SIGMA, F3648) (1/100 dilution in blocking solution). Embryos were rinsed 2 × 15 min in blocking solution, 2 × 15 min and 3 × 1 hr in PBSDT. Embryos were incubated O/N at 4°C with both secondary antibody (Alexa fluor 555 donkey anti-rabbit IgG, Invitrogen A31572) and Alexa Fluor 488 Phalloidin (Life technologies, A12379) respectively diluted 1/200 and 1/100 in blocking solution. Embryos were incubated 15 min with DAPI solution (100 pg/ml in PBSDT), and then rinsed 2 × 15 min and 3 × 1 hr in PBSDT.

Confocal and lightsheet imaging

For morphometric analysis, whole embryos were mounted in glass capillaries (1.4 mm diameter) to preserve tissue morphologies (1% agarose in 1X PBS) and imaged with a Lightsheet Z.1 (ZEISS, 20x objective). For imaging of fibronectin matrix and F-actin at high resolution, only the tails of the embryos were mounted between standard slides and coverslips (Fisher Finest Premium Microscope Slides) in 50% glycerol in 1X PBS and imaged with an inverted confocal microscope (ZEISS LSM880, 40x oil objective). For the photoconversion assay, 12 s stage embryos were mounted in glass bottom dishes in drops of 1% agarose in 1X E2 covered with E2 medium. An inverted confocal microscope ZEISS LSM880, 20x objective) was used for both photoconversion and subsequent imaging of the photoconverted region. Regions of interest were photoconverted using a 405 nm laser (30–45 cycles, speed 9 average 1, 10% of maximum laser power).

Simulation methods

We model the 2D cross-section of the posterior tail (see Figure 2A in main text) based on an earlier model of soft grains (Åström and Karttunen, 2006). The tissue surfaces are modeled by closed loops of mass-spring chains. An isolated tissue cross-section is made of 50 mass-points connected by elastic springs with homogeneous stiffness constant KS. This parameter (KS) is named 'surface stiffness'. Thus, the tension force along the i-th spring is: Ti=KS(lil0)h^i, where li and l0 are the instantaneous length and the equilibrium (unstretched) length of the i-th spring respectively, and h^i is a unit vector along the i-th spring. The sum of these tension forces along all the surface springs represents the surface tension of the tissue. An internal pressure, P also acts in the bulk of each tissue and it is directed perpendicularly outward at the tissue surface. Therefore, the net force acting on the i-th mass point of an isolated tissue (Fitissue) is given by:

Fitissue=TiTi+1+Pl02(n^i+n^i+1)

Here, n^i denotes an outward directed unit vector perpendicular to the i-th spring. We next modeled the interaction forces between adjacent tissues. Two mass-points belonging to two different tissues are considered to be interacting only if they are within a distance Radh from each other. If this distance between the mass-points is between Rrep and Radh, there exists a spring-like adhesive force that represents 'inter-tissue adhesion'. In addition, to prevent tissues from penetrating into each other, we implemented 'volume exclusion' by assuming spring-like repulsion forces between the mass-points, when the distance between the mass-points is below Rrep. Therefore, the interaction forces (Fijint) between i-th and j-th mass-points belonging to adjacent tissues can be summarized as:

Fijint=Krep(Rreprij)r^ij , if rij<Rrepor, Fijint=Kadh(rijRrep)r^ij , if RreprijRadhor, Fijint=0 , if rij>Radh

Here, rij is the metric distance between the mass-points (i.e. rij=|rirj|) and r^ij is a unit vector pointing from the j-th to the i-th point. Kadh and Krep represent the strength of adhesive and repulsive interactions respectively. In general, Krep is much higher than Kadh, and it is kept constant in all simulations. On the hand, a variation in Kadh represents a variation in the level of inter-tissue adhesion. This parameter, Kadh is referred as 'adhesion stiffness' that represents the strength of cell-ECM interaction.

We finally assumed an over-damped dynamics (neglecting inertia) of the mass-points to evolve their positions over time as below:

cvi=Fitissue+jFijint

Here, vi is the velocity of i-th mass-point and c is the viscous coefficient representing a drag force. By evolving the above dynamics in computer, we produced steady final shapes of the tissues at the limit of very long time. We used the 'Explicit Euler' method to simulate the dynamics with a time step set at Δt=0.001.

Parameter values

In all simulations, the equilibrium spring lengths (l0), the repulsion strength (Krep), the viscous coefficient (c), the range of forces between tissues (Rrep and Radh) and the internal pressure (P) are kept constant. These fixed parameters are: l0=0.1,Krep=30000, c=10, Rrep=0.1, Radh=0.2, and P=5. To theoretically explore the impact of variations of the surface stiffness (Ks) and adhesion stiffness (Kadh) in Figure 2B, we used Kadh = 4 and K adh= 12, while keeping the surface stiffness fixed at Ks = 50. We also used Ks = 35 and Ks = 100, keeping the adhesion stiffness fixed at Kadh = 8. We next systematically varied the surface stiffness (Ks) and adhesion stiffness (Kadh) to mimic the conditions of different genotypes in Figure 2D, E and F. The chosen values for these parameters are: for wild-type Ks = 100, Kadh = 10; for cdh2-/- mutant Ks = 55, Kadh = 12; for itgα5-/- mutants Ks = 100, Kadh = 6.5; and for cdh2-/-;itgα5-/- mutants Ks = 55, Kadh = 6.5 (also see the parameter space plot in Figure 2D). In Figures 3A and 7A, we used Ks = 200 and Kadh = 10 to generate the symmetric tension distributions along the PSM|NT interfaces.

Morphometric analysis

By using Imaris, we made transverse sections of 3D reconstructs of the posterior tail in every 20 um starting from the last somite boundary. Each transverse section was exported into image-J and rotated such that the medial-lateral axis of the notochord is exactly parallel to the horizontal axis of the image. We then traced the contours of neural tube and PSM to define regions of interests (ROIs). We applied the ‘bounding rectangle’ tool to these ROIs and the medial-lateral and dorsal-ventral lengths of the tissues are given by the width and heights of the rectangle. The same ROIs were also used to determine the cross-sectional area of the tissues (Path in image-J: Analyze - > Set measurements - > select ‘area’ and ‘bounding rectangle’). The interfacial length and angle were measured with standard ‘segmented line tool’ and ‘angle tool’ from image J. The radius of curvature was measured using a online ‘Fit circle’ Image J macro adapted from Pratt V., 1987 (see the website: http://www.math.uab.edu/~chernov/cl/MATLABcircle.html, http://imagej.1557.x6.nabble.com/Re-bending-and-radius-of-curvature-td3686117.html). We provide the image-J macro at the end of the methods section.

Quantitative analysis of matrix assembly and F-actin signal

Image processing

From 3D reconstructs of the posterior tail, portions of the tissue interfaces were isolated and oriented in Imaris such that the view is perpendicular to the interface. They were then stitched together using Photoshop to reconstruct the full interface.

For the analysis of matrix assembly, each image of the full interface was individually adjusted for brightness and contrast and then thresholded with an ‘auto-local threshold’ in image J to capture most of the matrix content (Image J path: Image - > Adjust - > auto local threshold - > select method ‘Pahnsalkar’, radius = 15). After thresholding images were then transformed into binaries. Based on the particle size in these binarized images, we considered the elements below 4 μm as background noise and removed them. After noise removal, what remains are referred as ‘total matrix’ (elements above 4 μm). We further made two categories of matrix elements: small fibrils (4 μm −40 μm), and large assembled networks (greater than 40 μm).

For the analysis of F-actin signals, each image of the full interface was converted into a binary using the matlab ‘im2bw’ function and with a global threshold set at 20% above the minimum intensity for every sample.

Quantification from processed images

In the PSM|NT interface, we measured the medial-lateral (ML) distribution of binary signals representing either one of the matrix categories or F-actin. We sectioned the interface along the anterior-posterior axis in consecutive sectors of roughly 10 μm in width. In each section, the relative ML positions of the pixels with respect to the local position of notochord were listed. From this list, we built a histogram of pixel counts as a function of relative ML position, normalized by the total pixel count of that interface.

In the PSM|E interface, we measured the density of binary signals representing either one of the matrix categories or F-actin along the anterior-posterior axis. To measure the density, a binary image representing total tissue surface was also prepared by tracing the contours of the total interface and filling the enclosed region with white pixels and outside with black. We then sectioned the interface along the anterior-posterior axis in consecutive sectors of roughly 50 μm in width. In each section, the density was measured by dividing the total pixel count of matrix or F-actin by the total pixels present in the local tissue area. These quantifications were performed by custom Matlab codes provided below:

Medial-lateral distribution of F-actin or matrix elements:

IMECMassemle = imread('TOTALMATRIX.tif'); 
IMECMassemle = im2bw(IMECMassemle); 
IMECMunassemle = imread('UNASSEMBLEDMATRIX.tif'); 
IMECMunassemle = im2bw(IMECMunassemle); 
IMECMtot = imread('TOTALTISSUE.tif'); 
IMECMtot = im2bw(IMECMtot); 
[x1,y1]=size(IMECMassemle); 
height = min(x1,y1); 
width = max(x1,y1); 
dx = 10*17.4; %round(width/Ntot); 
Ntot = round(width/dx); 
%k = 0; 
xmin = 0; 
%Distmin = 25; 
for k = 1:Ntot 
filename = strcat('Icrop', num2str(k), '.tif'); 
jjassemble = imcrop(IMECMassemle,[xmin,0,dx,height]); 
jjunassemble = imcrop(IMECMunassemle,[xmin,0,dx,height]); 
jjtot = imcrop(IMECMtot,[xmin,0,dx,height]); 
%imwrite(jj,filename) 
[rowsas,colsas]=find(jjassemble == 0); %%%% cols = AP, rows = ML, NT position = max(rows) 
[rowsunas,colsunas] =find(jjunassemble == 0); 
[rowstot,colstot]=find(jjtot == 0); 
NTposition = max(rowstot); 
ML = max(rowstot)-min(rowstot);
rowsas1{k}=abs(rowsas-NTposition)/ML; 
rowsunas1{k}=abs(rowsunas-NTposition)/ML; 
xmin = xmin + dx; 
%Dist(k)=Distmin; 
%Distmin = Distmin+50; 
%%dist = 20 um 
end 
MLas = cell2mat(rowsas1'); 
MLunas = cell2mat(rowsunas1'); 
hist(MLas,30); hold on 
hist(MLunas,30); 
[fas,xas]=hist(MLas,30); 
[funas,xunas]=hist(MLunas,30); 
%output=[mode(MLas), mode(MLunas), mean(MLas), mean(MLunas), std(MLas), std(MLunas)]; 
%xlswrite('Spatial-Segregation_WT-1_L1-PSML_6-22-17.xls',output) 
output=[xas',fas',xunas',funas']; 
%xlswrite('ML_Frequency_WT-1_L1-PSML_6-22-17.xls',output) 
%save ML_Frequency_WT-1_L1-PSML_6-22-17.dat output -ascii 
Anterior-posterior density of F-actin or matrix elements: 
ImageECM = imread('ASSEMBLEDMATRIX.tif'); 
BWECM = im2bw(ImageECM); 
nBlack = sum(BWECM(:)==0); 
[x1,y1]=size(BWECM); %%%%%% check if size is same for ALL FIGURES 
height = min(x1,y1); 
width = max(x1,y1); 
dx = 50*17.4; %round(width/Ntot); 
Ntot = round(width/dx); 
k = 0; 
xmin = 0; 
Distmin = 25; 
for k = 1:Ntot 
filename = strcat('Icrop', num2str(k), '.tif'); 
jj = imcrop(BWECM,[xmin,0,dx,height]); 
imwrite(jj,filename) 
xmin = xmin + dx; 
Dist(k)=Distmin; 
Distmin = Distmin+50; 
%%dist = 20 um 
end 
for k = 1:Ntot 
filename = strcat('Icrop', num2str(k), '.tif'); 
IMcrop = imread(filename); 
%BWcrop = im2bw(IMcrop); 
nB(k)=sum(IMcrop(:)==0); 
end 
%Dist = 1:Ntot; 
output=[Dist',nB']; 
xlswrite('assembled.xls',output)

Quantification of cell aspect ratio and F-actin intensity in PSM

To get the cell aspect ratio, we first prepared cross-sections of the PSM prepared by the Imaris software. In these cross-sections, each cell was manually traced and aspect ratio (major axis/minor axis) was extracted using the ‘Shape descriptor’ plugin of ImageJ (path: analyze - > Set measurements - > click ‘shape descriptor’).

To quantify the mean F-actin intensity of the PSM surface cells or PSM internal cells, we first traced a region of interest (ROI) encompassing either surface or internal cells. Then the mean grey value within the ROI was extracted after setting a threshold. The threshold was set such that we remove the cytoplasmic background without removing the low membrane signals in the posterior of the PSM.

Quantitative analysis of matrix remodeling

We first oriented the images of photoconverted spot in Imaris to get a view perpendicular to the spot in each time frame, and cropped around the spot. These images were then manually thresholded by Image J (path: Image - > Adjust - > Threshold) to account for photobleaching and then converted into binary images. From these binarized images, we used the standard deviation of the white pixel distribution along the medial-lateral and anterior-posterior axes as measures of the medial-lateral width and anterior-posterior height of the photoconverted spot respectively. These metrics were measured by a custom Matlab code provided below:

for k = 1:8 
filename = strcat('SLICE', num2str(k), '.tif'); 
IMECM = imread(filename); 
IMECM = im2bw(IMECM); 
nwhite = nnz(IMECM); 
[rows,cols]=find(IMECM == 1); 
Time(k)=(k-1)*15; 
area(k)=nwhite*0.2*0.2; 
width(k)=std(cols); %./mean(cols); 
height(k)=std(rows); %./mean(rows); 
%aspect(k)=allaspect(biggest); 
%NoElement = CC.NumObjects 
end 
output=[Time', width', height', width'/width(1), height'/height(1)]; 
plot(Time',height'/height(1),'o k-'); hold on 
plot(Time', width'/width(1),'o r-') 
xlswrite('RedSpot_WT-4_PSML.xls',output)

Displacement field analysis of the photoconverted region

To determine if there is any directional bias in the medial-lateral remodeling of matrix at the PSM|NT interface, we analyzed the displacement field of the photoconverted signal using a Particle Image Velocimetry (PIV) plugin available in Image J (downloadable versions and tutorials at https://sites.google.com/site/qingzongtseng/piv#tuto). For this analysis, images of photoconverted spot were prepared in Imaris to get a view perpendicular to the spot in each time frame. We used the raw grey scale images with full intensity distribution (without any thresholding). In Image-J, we selected the ‘iterative PIV (advanced)’ method, which determines the correlation between two images at a time and requires three user-defined parameters: the ‘interrogation window size’ (IW), the ‘search window size’ (SW), and the ‘vector spacing’ (VS). The set of two images is analyzed by PIV through three passes with a progressive decrease in parameter values so that a fine-tuned vector field of pixel displacement is finally produced. For our analysis, the set of two images corresponds to two consecutive time frames of the spot and we chose the following parameter values: for 1st pass, IW = 60, SW = 120, VS = 15; for 2nd pass, IW = 50, SW = 120, VS = 12; and for 3rd pass, IW = 40, SW = 80, VS = 10. The displacement was analyzed over the course of 45 min (using a frame to frame correlation for the first four consecutive time frames) as most of the remodeling of the photoconverted region happened in the first hour. All the vectors from the Frame 1–2, Frame 2–3 and Frame 3–4 correlations were plotted together in the same rose plot (see Figure 6—figure supplement 1E).

Quantitative analysis of myl12.1-eGFP localization in live embryos

mRNA coding for myl12.1-eGFP was synthesized using mMessage mMachine SP6 kit (Thermofisher, AM1340) according to standard manufacturer instructions using a PCS2+ myl12.1-eGFP plasmid as a template (a gift from Carl-Philipp Heisenberg). Embryos were injected at the one-cell stage with 100 pg of myl12.1-eGFP mRNA (25 ng/μl with a 4 nl droplet). Live embryos were imaged at the 12–14 somites stage on a ZEISS LSM880 (40x water objective, zoom 2, with airyscan detector set in a fast mode acquisition). Each image stack was then automatically sliced transversally every 5 μm using the ‘Reslice tool’ in Fiji. To quantify medio-lateral differences in myl12.1-eGFP localization along the NT border on each transverse slice, we used a custom Fiji code (see code below) to divide the NT border into 3 regions of 3–5 μm in width and measured the mean intensity value in each region.

roiManager("Select", newArray(0,1,6,7)); 
roiManager("Combine"); 
getSelectionCoordinates(xpoints, ypoints); 
makeSelection("polygon", xpoints, ypoints); 
run("Measure"); 
roiManager("Deselect"); 
roiManager("Select", newArray(1,2,5,6)); 
roiManager("Combine"); 
getSelectionCoordinates(xpoints, ypoints); 
makeSelection("polygon", xpoints, ypoints); 
run("Measure"); 
roiManager("Deselect"); 
roiManager("Select", newArray(2,3,4,5)); 
roiManager("Combine"); 
getSelectionCoordinates(xpoints, ypoints); 
makeSelection("polygon", xpoints, ypoints); 
run("Measure"); 
roiManager("Deselect"); 
roiManager("Select", newArray(2,3,4,5));
roiManager("Combine");
getSelectionCoordinates(xpoints, ypoints);
makeSelection("polygon", xpoints, ypoints);
run("Measure");
roiManager("Deselect");
roiManager("Save", "/image path/ROIn.zip"); 
roiManager("Deselect"); 
roiManager("Delete"); 
selectWindow("Results"); 
String.copyResults(); 
Table.deleteRows(0, 2);

Quantification of tension within the fibronectin matrix via the H5 antibody

To analyze the tension within the Fibronectin matrix, we used the H5 monoclonal antibody which recognizes a tension dependent epitope on the human Fibronectin 10th FN type III repeat (Cao et al., 2017). We generated a chimeric FN1a-mKIKGR13.2-hsFNIII10-11 protein in which the zebrafish 10th and 11th FN type III repeats have been replaced by the human ortholog’s 10th and 11th FN type III repeats. (The 10th FN type III repeat contains the PSHRN motif and was formerly identified as the 9th FN type III repeat. The 11th FN type III repeat contains the RGD motif and was formerly identified as the 10th FN type III repeat.) The PCS2+ FN1a-mKIKGR13.2-hsFNIII10-11 construct was generated by first subcloning the FN1a-mKIKGR13.2 CDS into the PCS2+ plasmid. The zebrafish FNIII10-11 repeats were replaced with a zebrafish codon optimized CDS of the human ortholog FNIII10-11 repeats using Gibson assembly. To synthetize the mRNA, we followed the protocol of Prince and Jessen (2019). Briefly, 30 μg of plasmid was linearized with Not I-HF (200 μl total volume reaction with 8 μl of enzyme) and purified via phenol chloroform extraction, overnight sodium acetate/ethanol precipitation and eluted in 10 μl RNAse free water. mRNA was synthesized using the mMessage Machine SP6 kit (Thermofisher, AM1340) following manufacturer’s instructions for long mRNA synthesis (1 μl of GTP was added to the reaction mix (total volume 21 μl) with 1 μg of DNA template at high concentration (1–3 μl of DNA in the final reaction mix).

One-cell stage embryos were injected with 600–800 pg of FN1a-mKIKGR13.2-hsFNIII10-11 mRNA. Embryos were sorted for bright fluorescence at the 12–14 somite stage, fixed 40 min in 4% PFA (gentle lateral shaking) at RT, washed twice for 5 min in PBST (0.1% Tween in 1X PBS), dechorionated, washed twice for 5 min in PBST, treated for 3 min with 5 μg/ml Proteinase K diluted in PBST, washed 3 × 5 min in PBST, post-fixed 20 min in 4% PFA at RT(gentle lateral shaking), washed 2 × 5 min in PBST, blocked for 3.5 hr at RT (gentle lateral shaking) in blocking solution (2% blocking reagent from Roche, 1X maleic acid buffer (2X maleic acid buffer: 200 mM maleic acid 300 mM NaCl pH = 7.4)), incubated 20 hr at 4°C with H5-V5-tag antibody (a gift from Thomas Barker) diluted at 50 μg/ml in blocking solution, washed 4 × 15 min in 1X maleic acid buffer (gentle lateral shaking at RT), incubated 20H at 4°C with goat anti-V5 antibody (Abcam, Ab 9137 diluted 1/400) in blocking solution, washed 4 × 15 min in 1X maleic acid buffer (gentle lateral shaking at RT), incubated 20H at 4°C with donkey anti-goat Alexa 555 antibodies (Thermofisher scientific A32816) diluted 1/200 in blocking solution, washed 3 × 10 min in 1X maleic acid buffer (gentle lateral shaking at RT), checked for fluorescence, incubated in 25% and 50% glycerol (10 min each) and then mounted in 50% glycerol for confocal imaging (Zeiss LSM880, 40x water objective). All antibodies incubations were done with 50 μl antibody solution without shaking.

To quantify H5 and mKIKGR levels and the H5/mKIKGR ratio, H5 and mKIKGR signals were imaged in conditions minimizing pixel saturation. Tissue interfaces were then segmented using Imaris software and exported for analysis with display adjustments preventing any distortion of the raw pixel values (gamma 1, full dynamic range 0–255). From this step onward, further image treatment and quantification were performed using a custom MATLAB code (see code provided below). To summarize, the H5 and mKIK images were individually thresholded (based on visual assessment) to define background pixels corresponding to areas between matrix fibrils and to discard any saturated pixels (value = 255, which represented than 0.8% of pixels per image, on average). We then generated the H5/mKIK ratiometric image by dividing, pixel by pixel, the H5 image by the mKIKGR image, and displayed it with a scaled color based on pixel value (imagesc MATLAB function). For the quantification of the medial-lateral distributions of each signal, images were divided in 10 sections of equal size along the medial-lateral axis, and the average signal in each section was quantified and then normalized to the average signal in the most lateral section. For the H5 and mKIKGR levels analysis, the calculation of the average signal in each section included the background pixels, which were attributed a value of zero. Thus, the tissue scale average incorporates both matrix brightness as well as matrix density. By contrast, for the H5/mKIKGR ratio analysis, the calculation of the average signal in each section excluded the background pixels that were attributed a NaN value. Thus, this metric reflects the average signal within the matrix elements themselves and represents the local level of tension within the Fibronectin matrix.

MATLAB code for quantification of medial-lateral distribution of H5/mKIK ratio and H5, mKIK signals

clr = 'rgbk'; 
lw = 3; 
fs = 20; 
th1 = 33; 
th2 = 30; 
% th1 and th2 are manually determined to exclude zones in between matrix elements 
imgs = {'H5.tif','mKIK.tif','ratio.tif'}; 
img1 = double(imread(imgs{1})); 
img2 = double(imread(imgs{2})); 
img1_255 = img1(img1 == 255); 
img2_255 = img2(img2 == 255); 
percent255_1 = numel(img1_255)/numel(img1) 
percent255_2 = numel(img2_255)/numel(img2) 
img1(img1 == 0)=NaN; 
img2(img2 == 0)=NaN; 
% 2 previous lines exclude the zones of picture outside of the tissue 
img1(img1 == 255)=NaN; 
img2(img2 == 255)=NaN; 
% 2 previous lines exclude the saturated pixels 
img1(img1 <th1)=NaN; 
img2(img2 <th2)=NaN; 
% Values in the 2 previous lines are NaN for an averaging calulating the brightness of the matrix 
% content itself. Change them to 0 for an avering taking into account the 
% total surface of the tissue 
imgRatio = (img1./img2); 
imgRatio(imgRatio == Inf)=NaN; 
imgRatio(imgRatio == 0)=NaN; 
fig = figure('Renderer', 'painters', 'Position', [0 0 size(imgRatio,2) size(imgRatio,1)]); 
imagesc(imgRatio); 
caxis([0 4]); %change the upper value to tune the colorbar and colormap 
colorbar; 
box off; 
axis off; 
saveas(fig,'ratio.tif','tif'); 
nbin = 10; 
img = {img1, img2, imgRatio}; 
fig = figure; 
figure(2); 
hold on; 
for i = 1:size(imgs,2) 
[imgmean, imgstd, imgmeannorm, position,scale]=mlGradient(img{i}, nbin); 
plot(position, imgmeannorm, clr(i), 'LineWidth', lw, 'DisplayName', imgs{i}); 
set(gca, 'xminorgrid', 'off', 'yminorgrid', 'off', 'fontsize', fs, 'xminortick', 'off',. .. 
'yminortick', 'off', 'linewidth', lw); 
set(gcf, 'color', 'w'); 
legend('Location','bestoutside','FontWeight','Normal','FontSize',12); 
set(gca,'FontSize',fs,'linewidth',lw); 
box on; 
ylabel('Average pixel intensity'); 
xlabel('Medio-lateral position (relative)'); 
end 
Function mlGradient 
function [imgmean,imgstd,imgmeannorm,position,scale]=mlGradient(img, nbin) 
img(isinf(img))=NaN; 
width = size(img, 2) 
height = size(img, 1) 
binsize = floor(width/nbin); 
imgmean = zeros(nbin, 1); 
imgstd = zeros(nbin,1); 
for k = 1:nbin 
if k ~= nbin 
imgmean(k)=nanmean(img(:,(k-1)*binsize+1:k*binsize),'all'); 
imgstd(k)=std(double(img(:,(k-1)*binsize+1:k*binsize)),0,'all', 'omitnan'); 
else 
imgmean(k)=nanmean((img(:,(k-1)*binsize+1:width)),'all'); 
imgstd(k)=std(double(img(:,(k-1)*binsize+1:width)),0,'all', 'omitnan'); 
end 
end 
scale = [0:1/nbin:1]'; 
position = [0+(1/(nbin*2)):1/nbin:1-(1/(nbin*2))]'; 
imgmeannorm = imgmean/imgmean(nbin); 
end

Sample size and significance test

Each experiment includes a minimum of three to five biological replicates. A biological replicate is equal one embryo whereas technical replicates represent separate experiments (e.g. staining reactions or timelapses). In Figure 6, the number of biological and technical replicates are equal. In other figures, we provide the number of biological replicates which derive from at least two technical replicates. In our experience, this sample size combined with detailed quantitative analysis of each sample will reveal any significant differences between experiment samples and controls. Samples were excluded from analysis if the signal to noise in the image data were too low to perform a quantitative analysis. To establish if there is any significant difference between samples in a metric, we used a two-sample T-test provided by the Matlab function’ ttest2’ or by standard ‘ttest’ function in Excel. Significance was defined as: *p<0.05, **p<0.005, and ***p<0.0005.

ImageJ macro for fitting circle

requires("1.43k");
if (nImages == 0)
exit("No image is open.");
showMessageWithCancel("Circle Fit Macro.", "This macro will reset your ROI Manager.\nDo you
want to proceed?");
roiManager("reset");
}
setTool("multipoint");
waitForUser("Circle Fit Macro.", "Multipoint tool selected.\nSelect points in your image, then click OK.");
roiManager("Add"); roiManager("Select", 0); roiManager("Rename", "points");
getSelectionCoordinates(x, y);
n = x.length;
if(n < 3)
exit("At least 3 points are required to fit a circle.");
sumx = 0; sumy = 0;
for(i = 0;i < n;i++) {
sumx = sumx + x[i]; 
sumy = sumy + y[i];
}
meanx = sumx/n;
meany = sumy/n;
X = newArray(n); Y = newArray(n);
Mxx = 0; Myy = 0; Mxy = 0; Mxz = 0; Myz = 0; Mzz = 0;
for(i = 0;i < n;i++) {
X[i]=x[i] - meanx;
Y[i]=y[i] - meany;
Zi = X[i]*X[i] + Y[i]*Y[i];
Mxy = Mxy + X[i]*Y[i];
Mxx = Mxx + X[i]*X[i];
Myy = Myy + Y[i]*Y[i];
Mxz = Mxz + X[i]*Zi;
Myz = Myz + Y[i]*Zi;
Mzz = Mzz + Zi*Zi;
}
Mxx = Mxx/n;
Myy = Myy/n;
Mxy = Mxy/n;
Mxz = Mxz/n;
Myz = Myz/n;
Mzz = Mzz/n;
Mz = Mxx + Myy;
Cov_xy = Mxx*Myy - Mxy*Mxy;
Mxz2 = Mxz*Mxz;
Myz2 = Myz*Myz;
A2 = 4*Cov_xy - 3*Mz*Mz - Mzz;
A1 = Mzz*Mz + 4*Cov_xy*Mz - Mxz2 - Myz2 - Mz*Mz*Mz;
A0 = Mxz2*Myy + Myz2*Mxx - Mzz*Cov_xy - 2*Mxz*Myz*Mxy + Mz*Mz*Cov_xy;
A22 = A2 + A2;
epsilon = 1e-12;
ynew = 1e+20;
IterMax = 20;
xnew = 0;
//Newton's method starting at x = 0for(iter = 1;i <= IterMax;i++) {
yold = ynew;
ynew = A0 + xnew*(A1 + xnew*(A2 + 4.*xnew*xnew));
if (abs(ynew)>abs(yold)) {
print(‘Newton-Pratt goes wrong direction: |ynew| > |yold|");
xnew = 0;
i = IterMax+1;
}
else {
Dy = A1 + xnew*(A22 + 16*xnew*xnew);
xold = xnew;
xnew = xold ynew/Dy;
if (abs((xnew-xold)/xnew)<epsilon)
i = IterMax+1;
else {
if (iter >= IterMax) {
print(‘Newton-Pratt will not converge’);
xnew = 0;
}
if (xnew <0) {
//print(‘Newton-Pratt negative root: x = "+xnew);
xnew = 0;
}
}
}
}
DET = xnew*xnew - xnew*Mz + Cov_xy;
CenterX = (Mxz*(Myy-xnew)-Myz*Mxy)/(2*DET);
CenterY = (Myz*(Mxx-xnew)-Mxz*Mxy)/(2*DET);
radius = sqrt(CenterX*CenterX + CenterY*CenterY + Mz + 2*xnew);
if(isNaN(radius))
exit("Points selected are collinear.");
CenterX = CenterX + meanx;
CenterY = CenterY + meany;
print("Radius = "+d2s(radius,2));
print("Center coordinates: ("+d2s(CenterX,2)+", "+d2s(CenterY,2)+")");
print("(all units in pixel)");
makeOval(CenterX-radius, CenterY-radius, 2*radius, 2*radius);
roiManager("Add"); roiManager("Select", 1); roiManager("Rename", "circle fit");
setTool("point");
makePoint(CenterX, CenterY);
roiManager("Add"); roiManager("Select", 2); roiManager("Rename", "center");
roiManager("Show All without labels");

Acknowledgements

We thank Madhusudhan Venkadesan for insightful discussions and members of the Holley lab for critical comments on the manuscript. Research support from the NIH initially provided by R01GM107385 and later by R01HD092361 to SAH.

Funding Statement

The funders had no role in study design, data collection and interpretation, or the decision to submit the work for publication.

Contributor Information

Scott Holley, Email: scott.holley@yale.edu.

Didier YR Stainier, Max Planck Institute for Heart and Lung Research, Germany.

Timothy E Saunders, National University of Singapore, Singapore.

Funding Information

This paper was supported by the following grants:

  • National Institute of General Medical Sciences R01GM107385 to Scott Holley.

  • Eunice Kennedy Shriver National Institute of Child Health and Human Development R01HD092361 to Scott Holley.

Additional information

Competing interests

No competing interests declared.

Author contributions

Conceptualization, Data curation, Formal analysis, Validation, Investigation, Visualization, Methodology.

Conceptualization, Data curation, Software, Formal analysis, Methodology.

Data curation, Formal analysis, Supervision, Investigation, Methodology.

Formal analysis.

Investigation.

Conceptualization, Formal analysis, Supervision, Funding acquisition, Project administration.

Ethics

Animal experimentation: Zebrafish were raised according to standard protocols (Nüsslein-Volhard and Dahm, 2002) and approved by the Yale Institutional Animal Care and Use Committee.

Additional files

Transparent reporting form

Data availability

All data generated or analyzed are included in the manuscript and supporting files.

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Decision letter

Editor: Timothy E Saunders1
Reviewed by: Timothy E Saunders2, Jean Schwarzbauer

In the interests of transparency, eLife publishes the most substantive revision requests and the accompanying author responses.

Acceptance summary:

This paper elegantly combines quantitative experimental measurements with an interesting lap-joint model to describe the formation of the spinal column in zebrafish. These insights will deepen our understanding of how complex tissue shape emerges during development.

Decision letter after peer review:

Thank you for submitting your article "Fibronectin is a smart adhesive that both influences and responds to the mechanics of early spinal column development" for consideration by eLife. Your article has been reviewed by two peer reviewers, including Timothy E Saunders as the Reviewing Editor and Reviewer #1, and the evaluation has been overseen by Didier Stainier as the Senior Editor. The other reviewer has opted to remain anonymous.

The reviewers have discussed the reviews with one another and the Reviewing Editor has drafted this decision to help you prepare a revised submission.

Summary:

In this work, Guillon et al., use concepts from engineering to deepen our understanding of how the early spinal column develops. They identify Fibronectin as a key player in determining how mechanical inputs are integrated during spinal column morphogenesis. This work further adds to the realization that inter-tissue interactions are essential in tissue morphogenesis. A particular stand-out result is the similarity in behavior of materials at macro- and micro- scopic scales.

The reviewers agree that the paper contains interesting new insights into how the early spinal cord develops in zebrafish and is potentially suitable for eLife. However, there are a few issues that need clarification, which are summarized here (see reports for more in-depth detail):

Essential revisions:

1) The model needs to be developed more clearly, in particular see point 4 of reviewer 1.

2) We do not see the need for additional experiments except better exploration of the link between Fibronectin and tissue tension (point 5 of reviewer 1). This is a key input of the model and needs better validation. Laser ablations are suggested, but not the only means of performing such a test.

3) Presentation of figure images can be improved, and, in particular, the results of Figure 6 need to be made more accessible.

4) The Discussion can be improved to bring out the key results of the paper in a more accessible manner.

Reviewer #1:

In general, this paper uses a number of different conceptual ideas to understand how the spinal column develops. It will likely appeal to developmental biologists interested in organogenesis, bioengineers, and physicists. Therefore, it has potential to have broad impact across a range of fields.

The paper in its current form has a number of issues that should be addressed:

1) Most of the paper is based on the convergence of neural tube defects observed in different genotypes (Figure 1). This data is important but the images in the printed version are poor. I am aware that Fibronectin is not an easy staining, but the staining of the nuclei can be significantly improved. It would help if the authors add supplementary data using a marker for the neural tube to show the convergence defect of neural tube in different genotypes. This will help give confidence in the presented results.

2) In general, standard deviation should be used to show the variability in the data (e.g. Figure 1F). This is important to gauge the reproducibility of data, which is masked by SEM.

3) In the Introduction, the concepts of lap-joints and spew filet need much clearer definitions. The current version is too brief.

4) Related to the model. a) Figure 2A: Is there a contribution of the skin to reach the steady tissue shapes?

b) The PSM and notochord are attached by a set of springs (red springs, which model inter-tissue adhesion via cell-Fibronectin interactions) to a rigid yolk surface (black line), In Figure 1 there is no Fibronectin between this tissue and the yolk, so which molecule links the PSM and notochord to the yolk?

c) Is the model able to reproduce the normal morphology of the neural tube along the PSM (anterior narrower than posterior)?

d) Is the model able to reproduce the morphology defects of the convergence of neural tube in the mutants?

e) It is not clear how viscosity has been incorporated within the model. If it has been excluded, better justification for this is needed.

f) Though "different parameters" are mentioned, more specificity is required. Was a parameter screen performed, or was more targeted parameter testing performed? This detail is important and should be in main text.

g) I appreciate that interpreting experimental results into parameter values is challenging (e.g. Figure 2D). It would be better to present these values as a range, and present the model results across a range of values.

5) The model predicts that there is tension at the tissue interface (gradient voltage PSM|NT interface, homogeneous voltage PSM|E interface). This should be directly tested by, for example, laser ablation experiments. Just inferring force from Fibronectin density is not sufficient.

6) The in vivo vs. in silico comparison in Figure 2E-F is not clear and can improved to aid in interpretation.

7) The Authors show that reductions of cell-cell adhesion eliminates the medial lateral gradients of Fibronectin matrix and F-actin in cdh2-/-; MZ itgα5-/- mutant embryos (Figure 4). What happens to the gradients of Fibronectin matrix and F-actin in cdh2-/-; MZ itgα5-/- double mutants embryos? Do they predict that the gradients are rescued?

8) Related to Figure 6, what is the explanation for the variable degree of neural convergence exhibited in cdh-/- and MZ itgα-/- embryo mutants?

9) Related to the Discussion. The Authors note that Folate deficiency causes spina bifida and increases cell traction force in neuronal cell culture (Kin et al., 2018). Can this idea be extended, to ask whether folate increases traction force? (this is not a request for further experiments, simply a broader discussion and a chance to highlight possible future experiments).

10) The work focuses on somite stages 12-14. It would be good to discuss how general these results are for different stages of neural column development.

Overall, the experiments are solid. However, the theory appears a little underdeveloped, in particular with regard to the morphology of the tissues in both wildtype and mutant scenarios (e.g. can the model graphically show the morphological defects in the asymmetry of the convergence of the neural tube in the different mutants). The discussion of the model in the paper is rather brief and some of these issues may be resolved by a more clear introduction of the model and the key assumptions underlying it. The model is a key part of the work and should be improved before acceptance.

Reviewer #2:

In this manuscript, the authors investigate the effects of cell adhesion mutations on neural tube convergence. The convergence defect of cdh2 null mutants was rescued in a double null mutant (cdh2-/-;itgα5-/-) that also knocks out the Fibronectin receptor. Knock out of either Fibronectin or integrin α5 caused premature convergence. Together these results demonstrate that Fibronectin matrix provides resistance against neural tube convergence. Computational modeling was used to predict the effects of changes in adhesion on neural tube and presomitic mesoderm (PSM) shapes, tissue interactions, and surface tensions. These predictions were then tested in vivo leading to a lap joint model for Fibronectin matrix as an adhesive at the PSM-neural tube interface. A photoconvertible Fibronectin was used to measure changes in the matrix and the results showed that Fibronectin matrix remodeling depends on convergence. Some cdh2-/- mutants showed asymmetric convergence. Fibronectin matrix remodeling in those cases was lost on the contralateral side, and this effect could be induced in the computational model by using different parameters for left and right sites. Overall this manuscript shows that Fibronectin matrix determines the symmetric morphogenesis of the spinal cord.

This is a very interesting manuscript with novel insights supporting surprising results. The novelty arises from the combination of computational modeling with experimental data interpreted through an engineering perspective. This approach identified a lap joint adhesion mechanism mediated by the Fibronectin matrix. The surprising finding was the contralateral effect of convergence on matrix remodeling, which suggests that an important and unanticipated role of cell-Fibronectin adhesion is symmetrical morphogenesis.

This manuscript is dense with a somewhat complicated story, especially for readers who might not be well-versed in developmental biology. To help readers understand the significant findings and conclusions from this work, it is recommended that the authors add a new first paragraph to the Discussion. This paragraph would briefly state the 3 or 4 main conclusions from their work. They can then use the remainder of the Discussion to say more about these conclusions. In the current version, readers are left more or less to their own devices to suss out what the key findings/conclusions are.

[Editors' note: further revisions were suggested prior to acceptance, as described below.]

Thank you for resubmitting your work entitled "Fibronectin is a smart adhesive that both influences and responds to the mechanics of early spinal column development" for further consideration by eLife. Your revised article has been evaluated by Didier Stainier as the Senior Editor, a Reviewing Editor and one peer reviewer.

The manuscript has been improved but we ask you to deal with one final concern.

The authors can improve the Discussion of the paper by clearly stating the 3 or 4 key experimental conclusions from the results that lead to the lap joint model. Examples of experimental conclusions include the following but it is up to the authors to decide what is most relevant – integrin mutants exhibit a narrower neural tube implicating cell-Fibronectin matrix adhesion in constraining neural tube convergence; in vivo testing of predictions from computational modeling support a role for Fibronectin matrix as an adhesive at the PSM-neural tube interface; symmetry depends on the balance of forces arising from NT convergence and cell-matrix adhesion and is lost when cell-Fibronectin interactions are perturbed. The final conclusion could be made more accessible to a broad audience by elaborating a bit. For example, is it accurate to say that the results show Fibronectin matrix determines the symmetric morphogenesis of the spinal cord and suggest a lap joint model for Fibronectin matrix as an adhesive at the PSM-neural tube interface?

eLife. 2020 Mar 31;9:e48964. doi: 10.7554/eLife.48964.sa2

Author response


Essential revisions:

1) The model needs to be developed more clearly, in particular see point 4 of reviewer 1.

We have doubled the length of this section in the main text, revised one of the main figures and provided a new supplementary figure. These additions are detailed in the response point 4 of reviewer 1 below.

2) We do not see the need for additional experiments except better exploration of the link between Fibronectin and tissue tension (point 5 of reviewer 1). This is a key input of the model and needs better validation. Laser ablations are suggested, but not the only means of performing such a test.

We now provide new data showing gradients of Myosin-II localization and levels of a tension-dependent epitope in Fibronectin. Details are included in the response to point 5 from reviewer 1 below.

3) Presentation of figure images can be improved, and, in particular, the results of Figure 6 need to be made more accessible.

For Figure 6, we have added a description of how the measurements were made to the main text. See also our response to point 2 of reviewer 2 below.

4) The Discussion can be improved to bring out the key results of the paper in a more accessible manner.

To address this point, we have added a new first paragraph to the Discussion. See also our response to point 1 of reviewer 2 below.

In general, we have tried to balance reviewer 1’s request for additional information and reviewer 2’s comment that the manuscript already told a complicated story. Thus, while some parts of the manuscript have been expanded significantly, we sought to address other points as succinctly as possible.

Reviewer #1:

[…] The paper in its current form has a number of issues that should be addressed:

1) Most of the paper is based on the convergence of neural tube defects observed in different genotypes (Figure 1). This data is important but the images in the printed version are poor. I am aware that Fibronectin is not an easy staining, but the staining of the nuclei can be significantly improved. It would help if the authors add supplementary data using a marker for the neural tube to show the convergence defect of neural tube in different genotypes. This will help give confidence in the presented results.

We agree with reviewer 1 that for sizing purposes in the main figure, the images are quite small and with limited resolution. However, we have been segmenting the tailbud using only nuclear localization for years in our analysis cell motion in the tailbud. Here, we are able to supplement the nuclear stain with either Fibronectin immunolocalization or phalloidin staining which makes it even easier to segment the tissues. We also note that when we segment a single slice, we are able to use information in other planes to clarify ambiguities. As an example, we now provide a video for wild type (now Video 1) showing with a higher resolution the smooth progression (in transverse sections every 1μm) of tissue shapes from posterior to anterior. This video reveals easily identifiable tissue boundaries as well as the convergence of the neural tube.

2) In general, standard deviation should be used to show the variability in the data (e.g. Figure 1F). This is important to gauge the reproducibility of data, which is masked by SEM.

We have replaced SEM with SD calculations in the revised manuscript.

3) In the Introduction, the concepts of lap-joints and spew filet need much clearer definitions. The current version is too brief.

We have changed the last paragraph of the Introduction to include the following sentences to provide a definition of a lap joint and spew filet:

Our model recapitulates features of an ‘adhesive lap joint’ which is commonly used in engineering and is comprised of partially overlapping components bound via an adhesive. Excess adhesive that can ooze from the edges of the overlapping domains is called an ‘adhesive spew’ which can be filleted or sculpted to strengthen the lap joint. Here, the Fibronectin matrix functions as the adhesive in the lap joint formed by the neural tube and left and right paraxial mesoderm.

4) Related to the model. a) Figure 2A: Is there a contribution of the skin to reach the steady tissue shapes?

The epidermis could potentially mechanically constrain both the neural tube (NT) and presomitic mesoderm (PSM). However, since both the NT and PSM are surrounded by the epidermis, we postulate that it alters the effective surface stiffness of both of them to a similar degree. In a previous study on the effects of abrogating cell-Fibronectin interaction on cell migration, we found no changes in epidermis cell motion in the tailbud (Dray et al., 2013). Here, we observe no obvious change in the cell shapes of the epidermis across different genotypes, again suggesting that the mechanical properties of the skin may not vary drastically from one genotype to another. In our model, we focus on the shape changes of the NT and PSM relative to each other. Hence, to make a simple model with minimal assumptions, we neglect the absolute contribution of the epidermis.

b) The PSM and notochord are attached by a set of springs (red springs, which model inter-tissue adhesion via cell-Fibronectin interactions) to a rigid yolk surface (black line), In Figure 1 there is no Fibronectin between this tissue and the yolk, so which molecule links the PSM and notochord to the yolk?

This is an interesting question. There are low levels of Fibronectin between the yolk and overlying tissues (see Author response image 1), but the tissues remain attached to the yolk in the Fibronectin double mutant. We detect no Laminin by immunohistochemistry along this interface at this stage of development. Thus, there are likely other proteins at this interface that mediate adhesion.

Author response image 1. Dashed box represents the PSM/yolk interface.

Author response image 1.

c) Is the model able to reproduce the normal morphology of the neural tube along the PSM (anterior narrower than posterior)?

Our aim was to model the final steady-state shapes of the NT-PSM interface in a 2D transverse section, close to the last somite boundary (i.e. anterior end of PSM). To keep the model as simple as possible, we did not explicitly model convergent extension. Our simple computational model has three main parameters: the internal pressure within a tissue, the surface stiffness, and the inter-tissue adhesion. To effectively model the NT convergence, we would need to go beyond the simple 2D coarse-grained model and explicitly include cell-cell intercalation in 3D.

Nonetheless, using the current model, we can assume that the NT-PSM interface is locally at steady-state along the anterior-posterior axis, and the observed tissue shape change along the anterior-posterior axis may be caused by a progressive variation of one of the model parameters along that axis. The zebrafish PSM progressively solidifies from posterior to anterior via a cadherin2-dependent gradient of yield-stress along the anterior-posterior axis (Mongera et al., 2018). Since cadherin2 promotes cohesion in a tissue and high cohesion correlates with high tissue surface tension (David et al., 2014; Manning et al., 2010), the PSM solidification can represented by a gradual increase of surface stiffness in our coarse-grained model. In a new set of simulations, we found that the length of the medial to lateral interface between the PSM and NT (L PSM|NT) steadily decreases with increasing surface stiffness when other parameters are fixed (see Figure 2—figure supplement 1A). We observe a similar decrease in L PSM|NT from posterior to anterior in vivo. Thus, our 2D model can explain the in vivo tissue narrowing with the simple assumption of local steady-state and variation of surface stiffness from posterior to anterior.

An abbreviated version of this explanation is now included in the model section of the main text.

d) Is the model able to reproduce the morphology defects of the convergence of neural tube in the mutants?

In the previous response (4c), we noted the limitations of our model. Our model does not include convergent extension and does reproduce the morphological defects in NT convergence.

e) It is not clear how viscosity has been incorporated within the model. If it has been excluded, better justification for this is needed.

Viscosity is included in our model as we considered over-damped dynamics of the surface points that ultimately reaches a steady state (see the equation of motion in Materials and methods: Simulation methods). The viscosity, however, would only affect the timescale of reaching the steady state. Since we are primarily interested in relative tissue shapes in the steady-state, the absolute value of the viscosity is not important. In simulations, we found that the relative tissue shapes are unaltered with over a 10-fold variation of the viscous coefficient (c=5 to 50). Thus, we fixed the value of the viscous coefficient to c=10.

f) Though "different parameters" are mentioned, more specificity is required. Was a parameter screen performed, or was more targeted parameter testing performed? This detail is important and should be in main text.

The main parameters of our model are (i) internal pressure, (ii) surface stiffness, and (iii) inter-tissue adhesion. None of these parameters can be measured directly. Hence, we had to indirectly infer the parameter values from in vivo tissue shapes of the NT and PSM relative to each other, and from the relative shapes of their interface across the genotypes.

First, the internal tissue pressure should depend on the net fluid content inside a tissue, and there is no obvious reason to vary this quantity across genotypes. Hence, we fixed the internal pressure (P=5) depending on an earlier model of soft grains (Åström and Karttunen, 2006) in such a way that the simulated shapes qualitatively resemble in vivo tissue shapes in 2D transverse sections.

The remaining two parameters were then systematically varied in simulations to check their influence on the shape of the interface between NT and PSM. We found that increasing surface stiffness decreases the interfacial length, while increasing inter-tissue adhesion increases interfacial length (Figure 2—figure supplement 1A and B). As noted in the answer to point 4c, a posterior to anterior gradient in surface stiffness can be thought to mimic the solidification of the PSM, and thus the simulation result (Figure 2—figure supplement 1A) parallels with the in vivo decrease of interfacial length from posterior to anterior (Figure 2—figure supplement 1C). On the other hand, variation in either surface stiffness or adhesion stiffness in simulations did not show any systematic change in the interfacial angle (Figure 2—figure supplement 1D and E). This also parallels our in vivo observation that the interfacial angle does not vary along the anterior-posterior axis (Figure 2—figure supplement 1F).

Given the above correspondence between in vivo and in silico observations, we next assigned reasonable values of surface stiffness (KS) and inter-tissue adhesion stiffness (Kadh) that reproduce morphometrics of wild-type embryos. We note that in vivo the value of the interfacial length (L PSM|NT) decreases to 0.6 of the maximum value at the anterior end of PSM relative to the posterior end (Figure 2—figure supplement 1C). We also found in silico that L PSM|NT roughly falls to 0.6 of the maximum value at KS ≈ 100 for a fixed Kadh (Figure 2—figure supplement 1A). Since we are interested in steady-state shapes near the anterior PSM, we may take this value to represent the wild type. Next, we consider the value of Kadh. In simulations, we varied Kadh for different fixed values of KS, and measured the medial-lateral length of NT relative to the interfacial length between NT and PSM (Figure 2—figure supplement 1G). In vivo, this ratio (ML length of NT/ L PSM|NT) is about 2 on average for the anterior 140 μm of PSM. In silico, we found that irrespective of the KS value, this ratio saturates around a value of 2.7 in the range of Kadh=8 to12 (marked in red in Figure 2—figure supplement 1G). Based on the above analysis, we then represented the wild-type embryos by a pair of values: (KS,Kadh)=(100,10).

After fixing the wild-type parameters, we then chose the parameter values corresponding to cdh2 mutants and MZ itgα5 mutants by matching in silico the in vivo length of PSM|NT interface in these mutants relative to its wild-type values (Figure 2E). For cdh2 mutants, the mean length of PSM|NT is around 1.5 times higher than wild type. To reproduce the experimentally observed increase of L PSM|NT relative to wild-type, we assigned reasonable parameter values to cdh2 mutants depending on biological expectations. First, we lowered the surface stiffness relative to wild type, since low cell-cell adhesion is known to reduce tissue surface tension (David et al., 2014, Manning et al., 2010). Second, Cadherin 2 was shown to inhibit Integrin α5 activation and Fibronectin matrix assembly in the PSM (Jülich et al., 2015, McMillen et al., 2016). Therefore, we may assign a higher adhesion stiffness value to cdh2 mutants compared to wild type. After systematic exploration of the parameter space in simulations, we found a pair of parameter values, (KS,Kadh)=(55,12), that reproduce the in vivo increase of L PSM|NT relative to wild-type (1.55 times).

Following the same procedure for MZ itgα5 mutants, the in vivo data indicate that MZ itgα5 mutants exhibit a mean PSM|NT interface length 0.77 times that of the wild-type value. Since cell-matrix interaction is reduced in MZ itgα5 mutants, it is logical to assume a lower inter-tissue adhesion for this genotype relative to wild type, but the surface stiffness was kept same as wild type. We found that a pair of parameter values, (KS,Kadh)=(100,6.5), reproduce the experimentally observed decrease of L PSM|NT relative to wild-type (0.78 times).

Using the parameter values corresponding to cdh2 mutants and MZ itgα5 mutants, we can then predict the interfacial length for cdh2; MZ itgα5 mutants simply by combining these parameter values. The double mutants are represented using the value of inter-tissue adhesion in MZ itgα5 mutants, and the same value of surface stiffness as cdh2 mutants (Figure 2D). Hence, cdh2; MZ itgα5 mutants are represented by the values: (KS,Kadh)=(55,6.5). These parameter choices for cdh2 mutants and MZ itgα5 mutants accurately predicted the in vivo interfacial length of cdh2; MZ itgα5 mutants, (Figure 2E). Importantly, though we assigned the parameter values depending on the relative interfacial lengths of cdh2 mutants and MZ itgα5 mutants, these parameter choices also reproduced the experimentally observed trends in the variation of interfacial angle across genotypes (Figure 2F).

This explanation is now included in the model section of the main text.

g) I appreciate that interpreting experimental results into parameter values is challenging (e.g. Figure 2D). It would be better to present these values as a range, and present the model results across a range of values.

In the previous response, we described how parameter values were assigned to different genotypes as in Figure 2D. In addition, we now provide systematic variation of surface stiffness and inter-tissue adhesion stiffness in simulations and show that these two parameters have opposing effects on the interfacial length (Figure 2—figure supplement 1). For the sake of simplicity, Figure 2D still only notes the specific values used for the final set of simulations that predict the double mutant phenotype and variation in interfacial angle across genotypes.

5) The model predicts that there is tension at the tissue interface (gradient voltage PSM|NT interface, homogeneous voltage PSM|E interface). This should be directly tested by, for example, laser ablation experiments. Just inferring force from Fibronectin density is not sufficient.

Although it is well known from cell culture experiments that Fibronectin density increases with F-actin levels, Myosin levels and cell traction forces, we agree that it would be good to have additional data to substantiate the prediction from our in silico model that there is a gradient of tension at the PSM|NT interface. We have now performed, two additional experiments to substantiate our conclusion. First, we quantified the spatial distribution of Myosin II in live embryos expressing myl12.1-EGFP (Araya et al., 2019; Behrndt et al., 2012) and found an increasing medial to lateral gradient of Myosin II, which is in accordance with F-actin density and Fibronectin matrix density (Figure 3—figure supplement 1A-C). Second, we probed the tension within the Fibronectin matrix itself by using the H5 antibody which recognizes an epitope that is exposed when human Fibronectin is under tension (Cao et al., 2017). For this experiment, we generated zebrafish embryos that express a chimeric zebrafish/human Fibronectin (FN1a-mKIKGR13.2-hsFNIII10-11 mRNA) (Figure 3—figure supplement 1D-M). We found that the PSM|NT interface exhibits an increasing medial-lateral gradient of H5 signal suggesting that the aggregate stress applied to the Fibronectin matrix is higher on the lateral side of the PSM|NT interface.

These new data are included in a new Figure 3—figure supplement 1.

6) The in vivo vs. in silico comparison in Figure 2E-F is not clear and can improved to aid in interpretation.

As part of our response to point 4f, the content of Figure 2E-F have been revised, and we think that the presentation will aid interpretation of the data.

7) The Authors show that reductions of cell-cell adhesion eliminates the medial lateral gradients of Fibronectin matrix and F-actin in cdh2-/-; MZ itgα5-/- mutant embryos (Figure 4). What happens to the gradients of Fibronectin matrix and F-actin in cdh2-/-; MZ itgα5-/- double mutants embryos? Do they predict that the gradients are rescued?

Figure 4 describes the phenotypes of the cdh2 and MZ itgα5 single mutants. The reviewer’s question, as we understand it, is what happened to the gradients in the double mutant?

The convoluted morphology and irregular ECM deposition in the double mutant mean that we cannot apply the same image segmentation protocol to the double mutants as for the other genotypes. Thus, we have not completed the parallel analysis of fixed double mutant embryos. However, based on the results of photoconversion experiments in single MZ itgα5-/- mutants showing that the medio-lateral remodeling of the matrix depends on tissue attachment, one could think that any rescue F-actin and Fibronectin gradients in cdh2-/-; MZ itgα5-/- double mutants will probably locally depends on the degree of tissue attachment. If tissues are still “relatively” attached, we can probably expect “normal” gradients of tension and Fibronectin matrix as suggested by the medio-lateral remodeling of the Fibronectin matrix in our photoconversion experiments in cdh2-/-; MZ itgα5-/- double mutants.

8) Related to Figure 6, what is the explanation for the variable degree of neural convergence exhibited in cdh-/- and MZ itgα-/- embryo mutants?

We observed a variable neural tube convergence defect in single cdh2-/- mutants and in the cdh2-/-; MZ itgα5-/- double mutants. Figure 6 shows that MZ itgα5-/- have variable tissue detachment phenotype. We interpret the reviewer’s question with regards to the variability of the neural convergence phenotype in the double mutant.

If the tissue detachment phenotype of single MZ itgα5 -/- mutants were complete, then one might expect that the cdh2-/-; MZ itgα5-/- double mutants would have uniformly converging neural tubes. Thus, some of the variability of the neural tube convergence defect is likely due to variable tissue detachment and the resulting variable shear stress between the neural tube and paraxial mesoderm. The variable tissue detachment phenotype due to loss of itgα5 is compounded by the intrinsic variability of the neural tube convergence defect in cdh2 mutants. At present, it is not clear why the neural convergence phenotype in the cdh2-/- single mutant is so variable, but that is an interesting question.

9) Related to the Discussion. The Authors note that Folate deficiency causes spina bifida and increases cell traction force in neuronal cell culture (Kin et al., 2018). Can this idea be extended, to ask whether folate increases traction force? (this is not a request for further experiments, simply a broader discussion and a chance to highlight possible future experiments).

We have added a sentence to this point in the Discussion.

10) The work focuses on somite stages 12-14. It would be good to discuss how general these results are for different stages of neural column development.

We added four sentences to the third paragraph of the Discussion to elaborate on this topic.

Reviewer #2:

[…] This manuscript is dense with a somewhat complicated story, especially for readers who might not be well-versed in developmental biology. To help readers understand the significant findings and conclusions from this work, it is recommended that the authors add a new first paragraph to the Discussion. This paragraph would briefly state the 3 or 4 main conclusions from their work. They can then use the remainder of the Discussion to say more about these conclusions. In the current version, readers are left more or less to their own devices to suss out what the key findings/conclusions are.

We modified the Discussion section to include the following paragraph to briefly state our main conclusions and help the readers:

“Here we find that inter-tissue adhesion, mediated by a Fibronectin matrix, mechanically couples the neural tube and adjacent mesoderm. […] Thus, Fibronectin functions as a ‘smart adhesive’ that continually remodels to where it is most needed.”

[Editors' note: further revisions were suggested prior to acceptance, as described below.]

The manuscript has been improved but we ask you to deal with one final concern.

The authors can improve the Discussion of the paper by clearly stating the 3 or 4 key experimental conclusions from the results that lead to the lap joint model. Examples of experimental conclusions include the following but it is up to the authors to decide what is most relevant – integrin mutants exhibit a narrower neural tube implicating cell-Fibronectin matrix adhesion in constraining neural tube convergence; in vivo testing of predictions from computational modeling support a role for Fibronectin matrix as an adhesive at the PSM-neural tube interface; symmetry depends on the balance of forces arising from NT convergence and cell-matrix adhesion and is lost when cell-Fibronectin interactions are perturbed. The final conclusion could be made more accessible to a broad audience by elaborating a bit. For example, is it accurate to say that the results show Fibronectin matrix determines the symmetric morphogenesis of the spinal cord and suggest a lap joint model for Fibronectin matrix as an adhesive at the PSM-neural tube interface?

The Editors made two suggestions regarding the Discussion section of the prior submission. The first suggestion was to provide an explication of the evidence supporting the lap joint model. We now provide this information in the second paragraph of the Discussion. The second suggestion was to restate the major conclusions in more general terms, which we now do in a new paragraph that concludes the Discussion.

We used ‘track changes’ to highlight the revisions in the Discussion section. The first three paragraphs have been substantially edited and the last paragraph is new. The second to last and third to last paragraphs were moved so that they follow the paragraph on spina bifida, rather than preceding the spina bifida paragraph as in the prior version of the manuscript. We think that this new organization of the Discussion helps address the Editorial comments.

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